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Finding the Fourth Proportional to 8,591.66, 12,887.79 and 4,207.94

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Solution

The fourth proportional to 8,591.66, 12,887.79 and 4,207.94 is: 6,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.66 : 12,887.79 = 4,207.94 : x
  2. Step 2: Convert to fraction form
    8,591.66/12,887.79 = 4,207.94/x
  3. Step 3: Cross multiply
    8,591.66x = 12,887.79 × 4,207.94
  4. Step 4: Simplify right side
    8,591.66x = 54,231,047.05
  5. Step 5: Solve for x
    x = 54,231,047.05/8,591.66
  6. Step 6: Final answer
    x = 6,312.06

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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.