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Finding the Fourth Proportional to 8,432.34, 12,649.13 and 3,238.22

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Solution

The fourth proportional to 8,432.34, 12,649.13 and 3,238.22 is: 4,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.34 : 12,649.13 = 3,238.22 : x
  2. Step 2: Convert to fraction form
    8,432.34/12,649.13 = 3,238.22/x
  3. Step 3: Cross multiply
    8,432.34x = 12,649.13 × 3,238.22
  4. Step 4: Simplify right side
    8,432.34x = 40,960,586.31
  5. Step 5: Solve for x
    x = 40,960,586.31/8,432.34
  6. Step 6: Final answer
    x = 4,857.56

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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.