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Finding the Fourth Proportional to 39,479, 59,218.50 and 13,177.76

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Solution

The fourth proportional to 39,479, 59,218.50 and 13,177.76 is: 19,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,479 : 59,218.50 = 13,177.76 : x
  2. Step 2: Convert to fraction form
    39,479/59,218.50 = 13,177.76/x
  3. Step 3: Cross multiply
    39,479x = 59,218.50 × 13,177.76
  4. Step 4: Simplify right side
    39,479x = 780,367,180.56
  5. Step 5: Solve for x
    x = 780,367,180.56/39,479
  6. Step 6: Final answer
    x = 19,766.64

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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.