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Finding the Fourth Proportional to 31,903, 47,876.42 and 11,126.50

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Solution

The fourth proportional to 31,903, 47,876.42 and 11,126.50 is: 16,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903 : 47,876.42 = 11,126.50 : x
  2. Step 2: Convert to fraction form
    31,903/47,876.42 = 11,126.50/x
  3. Step 3: Cross multiply
    31,903x = 47,876.42 × 11,126.50
  4. Step 4: Simplify right side
    31,903x = 532,696,931.50
  5. Step 5: Solve for x
    x = 532,696,931.50/31,903
  6. Step 6: Final answer
    x = 16,697.39

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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.