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Finding the Fourth Proportional to 8,422.04, 12,644 and 6,475.61

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Solution

The fourth proportional to 8,422.04, 12,644 and 6,475.61 is: 9,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.04 : 12,644 = 6,475.61 : x
  2. Step 2: Convert to fraction form
    8,422.04/12,644 = 6,475.61/x
  3. Step 3: Cross multiply
    8,422.04x = 12,644 × 6,475.61
  4. Step 4: Simplify right side
    8,422.04x = 81,877,612.84
  5. Step 5: Solve for x
    x = 81,877,612.84/8,422.04
  6. Step 6: Final answer
    x = 9,721.83

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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.