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Finding the Fourth Proportional to 10,585, 15,877.50 and 2,793.88

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Solution

The fourth proportional to 10,585, 15,877.50 and 2,793.88 is: 4,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585 : 15,877.50 = 2,793.88 : x
  2. Step 2: Convert to fraction form
    10,585/15,877.50 = 2,793.88/x
  3. Step 3: Cross multiply
    10,585x = 15,877.50 × 2,793.88
  4. Step 4: Simplify right side
    10,585x = 44,359,829.70
  5. Step 5: Solve for x
    x = 44,359,829.70/10,585
  6. Step 6: Final answer
    x = 4,190.82

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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.