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Finding the Fourth Proportional to 8,287.38, 11,432.72 and 4,928.31

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Solution

The fourth proportional to 8,287.38, 11,432.72 and 4,928.31 is: 6,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.38 : 11,432.72 = 4,928.31 : x
  2. Step 2: Convert to fraction form
    8,287.38/11,432.72 = 4,928.31/x
  3. Step 3: Cross multiply
    8,287.38x = 11,432.72 × 4,928.31
  4. Step 4: Simplify right side
    8,287.38x = 56,344,000.62
  5. Step 5: Solve for x
    x = 56,344,000.62/8,287.38
  6. Step 6: Final answer
    x = 6,798.77

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1.5x scale

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.