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Finding the Fourth Proportional to 10,489.20, 15,719.40 and 8,545.20

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Solution

The fourth proportional to 10,489.20, 15,719.40 and 8,545.20 is: 12,806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.20 : 15,719.40 = 8,545.20 : x
  2. Step 2: Convert to fraction form
    10,489.20/15,719.40 = 8,545.20/x
  3. Step 3: Cross multiply
    10,489.20x = 15,719.40 × 8,545.20
  4. Step 4: Simplify right side
    10,489.20x = 134,325,416.88
  5. Step 5: Solve for x
    x = 134,325,416.88/10,489.20
  6. Step 6: Final answer
    x = 12,806.07

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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.