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Finding the Fourth Proportional to 8,432.64, 12,648.48 and 2,588.52

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Solution

The fourth proportional to 8,432.64, 12,648.48 and 2,588.52 is: 3,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.64 : 12,648.48 = 2,588.52 : x
  2. Step 2: Convert to fraction form
    8,432.64/12,648.48 = 2,588.52/x
  3. Step 3: Cross multiply
    8,432.64x = 12,648.48 × 2,588.52
  4. Step 4: Simplify right side
    8,432.64x = 32,740,843.45
  5. Step 5: Solve for x
    x = 32,740,843.45/8,432.64
  6. Step 6: Final answer
    x = 3,882.63

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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.