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Finding the Fourth Proportional to 1,632.48, 2,253.12 and 1,043.20

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Solution

The fourth proportional to 1,632.48, 2,253.12 and 1,043.20 is: 1,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.48 : 2,253.12 = 1,043.20 : x
  2. Step 2: Convert to fraction form
    1,632.48/2,253.12 = 1,043.20/x
  3. Step 3: Cross multiply
    1,632.48x = 2,253.12 × 1,043.20
  4. Step 4: Simplify right side
    1,632.48x = 2,350,454.78
  5. Step 5: Solve for x
    x = 2,350,454.78/1,632.48
  6. Step 6: Final answer
    x = 1,439.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.