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Finding the Fourth Proportional to 8,659.76, 11,951.56 and 5,678.08

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Solution

The fourth proportional to 8,659.76, 11,951.56 and 5,678.08 is: 7,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.76 : 11,951.56 = 5,678.08 : x
  2. Step 2: Convert to fraction form
    8,659.76/11,951.56 = 5,678.08/x
  3. Step 3: Cross multiply
    8,659.76x = 11,951.56 × 5,678.08
  4. Step 4: Simplify right side
    8,659.76x = 67,861,913.80
  5. Step 5: Solve for x
    x = 67,861,913.80/8,659.76
  6. Step 6: Final answer
    x = 7,836.47

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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.