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Finding the Fourth Proportional to 8,711.56, 13,047.18 and 6,849.64

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Solution

The fourth proportional to 8,711.56, 13,047.18 and 6,849.64 is: 10,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.56 : 13,047.18 = 6,849.64 : x
  2. Step 2: Convert to fraction form
    8,711.56/13,047.18 = 6,849.64/x
  3. Step 3: Cross multiply
    8,711.56x = 13,047.18 × 6,849.64
  4. Step 4: Simplify right side
    8,711.56x = 89,368,486.02
  5. Step 5: Solve for x
    x = 89,368,486.02/8,711.56
  6. Step 6: Final answer
    x = 10,258.61

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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.