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Finding the Fourth Proportional to 10,665.75, 15,998.20 and 5,984.76

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Solution

The fourth proportional to 10,665.75, 15,998.20 and 5,984.76 is: 8,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.75 : 15,998.20 = 5,984.76 : x
  2. Step 2: Convert to fraction form
    10,665.75/15,998.20 = 5,984.76/x
  3. Step 3: Cross multiply
    10,665.75x = 15,998.20 × 5,984.76
  4. Step 4: Simplify right side
    10,665.75x = 95,745,387.43
  5. Step 5: Solve for x
    x = 95,745,387.43/10,665.75
  6. Step 6: Final answer
    x = 8,976.90

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1.5x scale

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.