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Finding the Fourth Proportional to 9,877.01, 14,815.97 and 5,491.16

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Solution

The fourth proportional to 9,877.01, 14,815.97 and 5,491.16 is: 8,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.01 : 14,815.97 = 5,491.16 : x
  2. Step 2: Convert to fraction form
    9,877.01/14,815.97 = 5,491.16/x
  3. Step 3: Cross multiply
    9,877.01x = 14,815.97 × 5,491.16
  4. Step 4: Simplify right side
    9,877.01x = 81,356,760.29
  5. Step 5: Solve for x
    x = 81,356,760.29/9,877.01
  6. Step 6: Final answer
    x = 8,236.99

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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.