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Finding the Fourth Proportional to 8,575.48, 12,864 and 3,380.16

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Solution

The fourth proportional to 8,575.48, 12,864 and 3,380.16 is: 5,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.48 : 12,864 = 3,380.16 : x
  2. Step 2: Convert to fraction form
    8,575.48/12,864 = 3,380.16/x
  3. Step 3: Cross multiply
    8,575.48x = 12,864 × 3,380.16
  4. Step 4: Simplify right side
    8,575.48x = 43,482,378.24
  5. Step 5: Solve for x
    x = 43,482,378.24/8,575.48
  6. Step 6: Final answer
    x = 5,070.55

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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.