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Finding the Fourth Proportional to 11,861.71, 16,369.50 and 6,557.02

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Solution

The fourth proportional to 11,861.71, 16,369.50 and 6,557.02 is: 9,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.71 : 16,369.50 = 6,557.02 : x
  2. Step 2: Convert to fraction form
    11,861.71/16,369.50 = 6,557.02/x
  3. Step 3: Cross multiply
    11,861.71x = 16,369.50 × 6,557.02
  4. Step 4: Simplify right side
    11,861.71x = 107,335,138.89
  5. Step 5: Solve for x
    x = 107,335,138.89/11,861.71
  6. Step 6: Final answer
    x = 9,048.88

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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.