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Finding the Fourth Proportional to 4,230.24, 6,342.24 and 1,632

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Solution

The fourth proportional to 4,230.24, 6,342.24 and 1,632 is: 2,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.24 : 6,342.24 = 1,632 : x
  2. Step 2: Convert to fraction form
    4,230.24/6,342.24 = 1,632/x
  3. Step 3: Cross multiply
    4,230.24x = 6,342.24 × 1,632
  4. Step 4: Simplify right side
    4,230.24x = 10,350,535.68
  5. Step 5: Solve for x
    x = 10,350,535.68/4,230.24
  6. Step 6: Final answer
    x = 2,446.80

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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.