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Finding the Fourth Proportional to 31,489, 47,241.18 and 9,601

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Solution

The fourth proportional to 31,489, 47,241.18 and 9,601 is: 14,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,489 : 47,241.18 = 9,601 : x
  2. Step 2: Convert to fraction form
    31,489/47,241.18 = 9,601/x
  3. Step 3: Cross multiply
    31,489x = 47,241.18 × 9,601
  4. Step 4: Simplify right side
    31,489x = 453,562,569.18
  5. Step 5: Solve for x
    x = 453,562,569.18/31,489
  6. Step 6: Final answer
    x = 14,403.84

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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.