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Finding the Fourth Proportional to 10,572.19, 15,865.98 and 8,517.01

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Solution

The fourth proportional to 10,572.19, 15,865.98 and 8,517.01 is: 12,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.19 : 15,865.98 = 8,517.01 : x
  2. Step 2: Convert to fraction form
    10,572.19/15,865.98 = 8,517.01/x
  3. Step 3: Cross multiply
    10,572.19x = 15,865.98 × 8,517.01
  4. Step 4: Simplify right side
    10,572.19x = 135,130,710.32
  5. Step 5: Solve for x
    x = 135,130,710.32/10,572.19
  6. Step 6: Final answer
    x = 12,781.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.