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Finding the Fourth Proportional to 6,142.80, 9,217.80 and 2,247.60

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Solution

The fourth proportional to 6,142.80, 9,217.80 and 2,247.60 is: 3,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.80 : 9,217.80 = 2,247.60 : x
  2. Step 2: Convert to fraction form
    6,142.80/9,217.80 = 2,247.60/x
  3. Step 3: Cross multiply
    6,142.80x = 9,217.80 × 2,247.60
  4. Step 4: Simplify right side
    6,142.80x = 20,717,927.28
  5. Step 5: Solve for x
    x = 20,717,927.28/6,142.80
  6. Step 6: Final answer
    x = 3,372.72

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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.