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Finding the Fourth Proportional to 31,597.47, 47,401.05 and 11,877.39

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Solution

The fourth proportional to 31,597.47, 47,401.05 and 11,877.39 is: 17,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,597.47 : 47,401.05 = 11,877.39 : x
  2. Step 2: Convert to fraction form
    31,597.47/47,401.05 = 11,877.39/x
  3. Step 3: Cross multiply
    31,597.47x = 47,401.05 × 11,877.39
  4. Step 4: Simplify right side
    31,597.47x = 563,000,757.26
  5. Step 5: Solve for x
    x = 563,000,757.26/31,597.47
  6. Step 6: Final answer
    x = 17,817.91

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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.