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Finding the Fourth Proportional to 6,648.32, 9,974.28 and 5,427.20

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Solution

The fourth proportional to 6,648.32, 9,974.28 and 5,427.20 is: 8,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.32 : 9,974.28 = 5,427.20 : x
  2. Step 2: Convert to fraction form
    6,648.32/9,974.28 = 5,427.20/x
  3. Step 3: Cross multiply
    6,648.32x = 9,974.28 × 5,427.20
  4. Step 4: Simplify right side
    6,648.32x = 54,132,412.42
  5. Step 5: Solve for x
    x = 54,132,412.42/6,648.32
  6. Step 6: Final answer
    x = 8,142.27

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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.