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Finding the Fourth Proportional to 4,502.50, 6,753.78 and 1,424.50

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Solution

The fourth proportional to 4,502.50, 6,753.78 and 1,424.50 is: 2,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.50 : 6,753.78 = 1,424.50 : x
  2. Step 2: Convert to fraction form
    4,502.50/6,753.78 = 1,424.50/x
  3. Step 3: Cross multiply
    4,502.50x = 6,753.78 × 1,424.50
  4. Step 4: Simplify right side
    4,502.50x = 9,620,759.61
  5. Step 5: Solve for x
    x = 9,620,759.61/4,502.50
  6. Step 6: Final answer
    x = 2,136.76

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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.