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Finding the Fourth Proportional to 9,712.68, 14,572.07 and 3,472.54

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Solution

The fourth proportional to 9,712.68, 14,572.07 and 3,472.54 is: 5,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.68 : 14,572.07 = 3,472.54 : x
  2. Step 2: Convert to fraction form
    9,712.68/14,572.07 = 3,472.54/x
  3. Step 3: Cross multiply
    9,712.68x = 14,572.07 × 3,472.54
  4. Step 4: Simplify right side
    9,712.68x = 50,602,055.19
  5. Step 5: Solve for x
    x = 50,602,055.19/9,712.68
  6. Step 6: Final answer
    x = 5,209.90

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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.