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Finding the Fourth Proportional to 9,171.17, 13,756.76 and 4,787.61

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Solution

The fourth proportional to 9,171.17, 13,756.76 and 4,787.61 is: 7,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.17 : 13,756.76 = 4,787.61 : x
  2. Step 2: Convert to fraction form
    9,171.17/13,756.76 = 4,787.61/x
  3. Step 3: Cross multiply
    9,171.17x = 13,756.76 × 4,787.61
  4. Step 4: Simplify right side
    9,171.17x = 65,862,001.74
  5. Step 5: Solve for x
    x = 65,862,001.74/9,171.17
  6. Step 6: Final answer
    x = 7,181.42

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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.