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Finding the Fourth Proportional to 7,647.04, 11,472.24 and 2,452.88

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Solution

The fourth proportional to 7,647.04, 11,472.24 and 2,452.88 is: 3,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.04 : 11,472.24 = 2,452.88 : x
  2. Step 2: Convert to fraction form
    7,647.04/11,472.24 = 2,452.88/x
  3. Step 3: Cross multiply
    7,647.04x = 11,472.24 × 2,452.88
  4. Step 4: Simplify right side
    7,647.04x = 28,140,028.05
  5. Step 5: Solve for x
    x = 28,140,028.05/7,647.04
  6. Step 6: Final answer
    x = 3,679.86

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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.