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Finding the Fourth Proportional to 11,861.52, 16,374.33 and 8,461.14

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Solution

The fourth proportional to 11,861.52, 16,374.33 and 8,461.14 is: 11,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.52 : 16,374.33 = 8,461.14 : x
  2. Step 2: Convert to fraction form
    11,861.52/16,374.33 = 8,461.14/x
  3. Step 3: Cross multiply
    11,861.52x = 16,374.33 × 8,461.14
  4. Step 4: Simplify right side
    11,861.52x = 138,545,498.54
  5. Step 5: Solve for x
    x = 138,545,498.54/11,861.52
  6. Step 6: Final answer
    x = 11,680.25

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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.