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Finding the Fourth Proportional to 8,432.40, 12,648.48 and 3,815.40

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Solution

The fourth proportional to 8,432.40, 12,648.48 and 3,815.40 is: 5,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.40 : 12,648.48 = 3,815.40 : x
  2. Step 2: Convert to fraction form
    8,432.40/12,648.48 = 3,815.40/x
  3. Step 3: Cross multiply
    8,432.40x = 12,648.48 × 3,815.40
  4. Step 4: Simplify right side
    8,432.40x = 48,259,010.59
  5. Step 5: Solve for x
    x = 48,259,010.59/8,432.40
  6. Step 6: Final answer
    x = 5,723.05

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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.