Home / 1,421.52-2,132.28-381.54

Finding the Fourth Proportional to 1,421.52, 2,132.28 and 381.54

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Solution

The fourth proportional to 1,421.52, 2,132.28 and 381.54 is: 572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.52 : 2,132.28 = 381.54 : x
  2. Step 2: Convert to fraction form
    1,421.52/2,132.28 = 381.54/x
  3. Step 3: Cross multiply
    1,421.52x = 2,132.28 × 381.54
  4. Step 4: Simplify right side
    1,421.52x = 813,550.11
  5. Step 5: Solve for x
    x = 813,550.11/1,421.52
  6. Step 6: Final answer
    x = 572.31

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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.