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Finding the Fourth Proportional to 9,966.15, 13,747.32 and 5,931.54

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Solution

The fourth proportional to 9,966.15, 13,747.32 and 5,931.54 is: 8,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.15 : 13,747.32 = 5,931.54 : x
  2. Step 2: Convert to fraction form
    9,966.15/13,747.32 = 5,931.54/x
  3. Step 3: Cross multiply
    9,966.15x = 13,747.32 × 5,931.54
  4. Step 4: Simplify right side
    9,966.15x = 81,542,778.47
  5. Step 5: Solve for x
    x = 81,542,778.47/9,966.15
  6. Step 6: Final answer
    x = 8,181.97

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Why These Related Problems?

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