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Finding the Fourth Proportional to 8,432.64, 12,659.76 and 6,138.72

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Solution

The fourth proportional to 8,432.64, 12,659.76 and 6,138.72 is: 9,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.64 : 12,659.76 = 6,138.72 : x
  2. Step 2: Convert to fraction form
    8,432.64/12,659.76 = 6,138.72/x
  3. Step 3: Cross multiply
    8,432.64x = 12,659.76 × 6,138.72
  4. Step 4: Simplify right side
    8,432.64x = 77,714,721.91
  5. Step 5: Solve for x
    x = 77,714,721.91/8,432.64
  6. Step 6: Final answer
    x = 9,215.94

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1.5x scale

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.