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Finding the Fourth Proportional to 8,428.88, 11,631.86 and 4,702.88

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Solution

The fourth proportional to 8,428.88, 11,631.86 and 4,702.88 is: 6,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.88 : 11,631.86 = 4,702.88 : x
  2. Step 2: Convert to fraction form
    8,428.88/11,631.86 = 4,702.88/x
  3. Step 3: Cross multiply
    8,428.88x = 11,631.86 × 4,702.88
  4. Step 4: Simplify right side
    8,428.88x = 54,703,160.08
  5. Step 5: Solve for x
    x = 54,703,160.08/8,428.88
  6. Step 6: Final answer
    x = 6,489.97

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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.