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Finding the Fourth Proportional to 10,874.56, 15,006.44 and 6,158.72

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Solution

The fourth proportional to 10,874.56, 15,006.44 and 6,158.72 is: 8,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.56 : 15,006.44 = 6,158.72 : x
  2. Step 2: Convert to fraction form
    10,874.56/15,006.44 = 6,158.72/x
  3. Step 3: Cross multiply
    10,874.56x = 15,006.44 × 6,158.72
  4. Step 4: Simplify right side
    10,874.56x = 92,420,462.16
  5. Step 5: Solve for x
    x = 92,420,462.16/10,874.56
  6. Step 6: Final answer
    x = 8,498.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.