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Finding the Fourth Proportional to 12,689.22, 17,510.57 and 7,023.63

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Solution

The fourth proportional to 12,689.22, 17,510.57 and 7,023.63 is: 9,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.22 : 17,510.57 = 7,023.63 : x
  2. Step 2: Convert to fraction form
    12,689.22/17,510.57 = 7,023.63/x
  3. Step 3: Cross multiply
    12,689.22x = 17,510.57 × 7,023.63
  4. Step 4: Simplify right side
    12,689.22x = 122,987,642.10
  5. Step 5: Solve for x
    x = 122,987,642.10/12,689.22
  6. Step 6: Final answer
    x = 9,692.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.