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Finding the Fourth Proportional to 10,581.98, 15,876.14 and 3,186.68

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Solution

The fourth proportional to 10,581.98, 15,876.14 and 3,186.68 is: 4,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.98 : 15,876.14 = 3,186.68 : x
  2. Step 2: Convert to fraction form
    10,581.98/15,876.14 = 3,186.68/x
  3. Step 3: Cross multiply
    10,581.98x = 15,876.14 × 3,186.68
  4. Step 4: Simplify right side
    10,581.98x = 50,592,082.50
  5. Step 5: Solve for x
    x = 50,592,082.50/10,581.98
  6. Step 6: Final answer
    x = 4,780.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.