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Finding the Fourth Proportional to 12,686.95, 17,509.13 and 7,023.03

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Solution

The fourth proportional to 12,686.95, 17,509.13 and 7,023.03 is: 9,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.95 : 17,509.13 = 7,023.03 : x
  2. Step 2: Convert to fraction form
    12,686.95/17,509.13 = 7,023.03/x
  3. Step 3: Cross multiply
    12,686.95x = 17,509.13 × 7,023.03
  4. Step 4: Simplify right side
    12,686.95x = 122,967,145.26
  5. Step 5: Solve for x
    x = 122,967,145.26/12,686.95
  6. Step 6: Final answer
    x = 9,692.41

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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.