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Finding the Fourth Proportional to 12,585, 18,877.62 and 3,819.92

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Solution

The fourth proportional to 12,585, 18,877.62 and 3,819.92 is: 5,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585 : 18,877.62 = 3,819.92 : x
  2. Step 2: Convert to fraction form
    12,585/18,877.62 = 3,819.92/x
  3. Step 3: Cross multiply
    12,585x = 18,877.62 × 3,819.92
  4. Step 4: Simplify right side
    12,585x = 72,110,998.19
  5. Step 5: Solve for x
    x = 72,110,998.19/12,585
  6. Step 6: Final answer
    x = 5,729.92

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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.