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Finding the Fourth Proportional to 22,642.56, 31,246.56 and 12,572.64

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Solution

The fourth proportional to 22,642.56, 31,246.56 and 12,572.64 is: 17,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.56 : 31,246.56 = 12,572.64 : x
  2. Step 2: Convert to fraction form
    22,642.56/31,246.56 = 12,572.64/x
  3. Step 3: Cross multiply
    22,642.56x = 31,246.56 × 12,572.64
  4. Step 4: Simplify right side
    22,642.56x = 392,851,750.12
  5. Step 5: Solve for x
    x = 392,851,750.12/22,642.56
  6. Step 6: Final answer
    x = 17,350.15

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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.