Home / 1,451.41-2,002.76-821.97

Finding the Fourth Proportional to 1,451.41, 2,002.76 and 821.97

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Solution

The fourth proportional to 1,451.41, 2,002.76 and 821.97 is: 1,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.41 : 2,002.76 = 821.97 : x
  2. Step 2: Convert to fraction form
    1,451.41/2,002.76 = 821.97/x
  3. Step 3: Cross multiply
    1,451.41x = 2,002.76 × 821.97
  4. Step 4: Simplify right side
    1,451.41x = 1,646,207.61
  5. Step 5: Solve for x
    x = 1,646,207.61/1,451.41
  6. Step 6: Final answer
    x = 1,134.21

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Why These Related Problems?

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