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Finding the Fourth Proportional to 12,874.52, 17,767.16 and 7,209.24

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Solution

The fourth proportional to 12,874.52, 17,767.16 and 7,209.24 is: 9,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.52 : 17,767.16 = 7,209.24 : x
  2. Step 2: Convert to fraction form
    12,874.52/17,767.16 = 7,209.24/x
  3. Step 3: Cross multiply
    12,874.52x = 17,767.16 × 7,209.24
  4. Step 4: Simplify right side
    12,874.52x = 128,087,720.56
  5. Step 5: Solve for x
    x = 128,087,720.56/12,874.52
  6. Step 6: Final answer
    x = 9,948.93

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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.