Home / 1,451.38-2,002.94-821.91

Finding the Fourth Proportional to 1,451.38, 2,002.94 and 821.91

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Solution

The fourth proportional to 1,451.38, 2,002.94 and 821.91 is: 1,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.38 : 2,002.94 = 821.91 : x
  2. Step 2: Convert to fraction form
    1,451.38/2,002.94 = 821.91/x
  3. Step 3: Cross multiply
    1,451.38x = 2,002.94 × 821.91
  4. Step 4: Simplify right side
    1,451.38x = 1,646,235.60
  5. Step 5: Solve for x
    x = 1,646,235.60/1,451.38
  6. Step 6: Final answer
    x = 1,134.25

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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.