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Finding the Fourth Proportional to 31,479, 47,218.50 and 9,591

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Solution

The fourth proportional to 31,479, 47,218.50 and 9,591 is: 14,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,479 : 47,218.50 = 9,591 : x
  2. Step 2: Convert to fraction form
    31,479/47,218.50 = 9,591/x
  3. Step 3: Cross multiply
    31,479x = 47,218.50 × 9,591
  4. Step 4: Simplify right side
    31,479x = 452,872,633.50
  5. Step 5: Solve for x
    x = 452,872,633.50/31,479
  6. Step 6: Final answer
    x = 14,386.50

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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.