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Finding the Fourth Proportional to 38,585, 57,877.36 and 12,291.86

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Solution

The fourth proportional to 38,585, 57,877.36 and 12,291.86 is: 18,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585 : 57,877.36 = 12,291.86 : x
  2. Step 2: Convert to fraction form
    38,585/57,877.36 = 12,291.86/x
  3. Step 3: Cross multiply
    38,585x = 57,877.36 × 12,291.86
  4. Step 4: Simplify right side
    38,585x = 711,420,406.29
  5. Step 5: Solve for x
    x = 711,420,406.29/38,585
  6. Step 6: Final answer
    x = 18,437.75

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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.