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Finding the Fourth Proportional to 1,421.84, 2,132.51 and 381.95

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Solution

The fourth proportional to 1,421.84, 2,132.51 and 381.95 is: 572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.84 : 2,132.51 = 381.95 : x
  2. Step 2: Convert to fraction form
    1,421.84/2,132.51 = 381.95/x
  3. Step 3: Cross multiply
    1,421.84x = 2,132.51 × 381.95
  4. Step 4: Simplify right side
    1,421.84x = 814,518.48
  5. Step 5: Solve for x
    x = 814,518.48/1,421.84
  6. Step 6: Final answer
    x = 572.86

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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.