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Finding the Fourth Proportional to 31,791, 47,686.50 and 9,903

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Solution

The fourth proportional to 31,791, 47,686.50 and 9,903 is: 14,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791 : 47,686.50 = 9,903 : x
  2. Step 2: Convert to fraction form
    31,791/47,686.50 = 9,903/x
  3. Step 3: Cross multiply
    31,791x = 47,686.50 × 9,903
  4. Step 4: Simplify right side
    31,791x = 472,239,409.50
  5. Step 5: Solve for x
    x = 472,239,409.50/31,791
  6. Step 6: Final answer
    x = 14,854.50

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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.