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Finding the Fourth Proportional to 12,820.64, 17,692.93 and 7,442.66

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Solution

The fourth proportional to 12,820.64, 17,692.93 and 7,442.66 is: 10,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.64 : 17,692.93 = 7,442.66 : x
  2. Step 2: Convert to fraction form
    12,820.64/17,692.93 = 7,442.66/x
  3. Step 3: Cross multiply
    12,820.64x = 17,692.93 × 7,442.66
  4. Step 4: Simplify right side
    12,820.64x = 131,682,515.93
  5. Step 5: Solve for x
    x = 131,682,515.93/12,820.64
  6. Step 6: Final answer
    x = 10,271.14

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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.