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Finding the Fourth Proportional to 19,503.68, 29,218.78 and 9,631.40

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Solution

The fourth proportional to 19,503.68, 29,218.78 and 9,631.40 is: 14,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,503.68 : 29,218.78 = 9,631.40 : x
  2. Step 2: Convert to fraction form
    19,503.68/29,218.78 = 9,631.40/x
  3. Step 3: Cross multiply
    19,503.68x = 29,218.78 × 9,631.40
  4. Step 4: Simplify right side
    19,503.68x = 281,417,757.69
  5. Step 5: Solve for x
    x = 281,417,757.69/19,503.68
  6. Step 6: Final answer
    x = 14,428.96

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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.