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Finding the Fourth Proportional to 15,007.96, 20,712.23 and 8,294.90

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Solution

The fourth proportional to 15,007.96, 20,712.23 and 8,294.90 is: 11,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,007.96 : 20,712.23 = 8,294.90 : x
  2. Step 2: Convert to fraction form
    15,007.96/20,712.23 = 8,294.90/x
  3. Step 3: Cross multiply
    15,007.96x = 20,712.23 × 8,294.90
  4. Step 4: Simplify right side
    15,007.96x = 171,805,731.59
  5. Step 5: Solve for x
    x = 171,805,731.59/15,007.96
  6. Step 6: Final answer
    x = 11,447.64

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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.