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Finding the Fourth Proportional to 10,380.46, 15,575.22 and 5,448.88

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Solution

The fourth proportional to 10,380.46, 15,575.22 and 5,448.88 is: 8,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.46 : 15,575.22 = 5,448.88 : x
  2. Step 2: Convert to fraction form
    10,380.46/15,575.22 = 5,448.88/x
  3. Step 3: Cross multiply
    10,380.46x = 15,575.22 × 5,448.88
  4. Step 4: Simplify right side
    10,380.46x = 84,867,504.75
  5. Step 5: Solve for x
    x = 84,867,504.75/10,380.46
  6. Step 6: Final answer
    x = 8,175.70

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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.