Home / 1,451.17-2,002.62-821.86

Finding the Fourth Proportional to 1,451.17, 2,002.62 and 821.86

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Solution

The fourth proportional to 1,451.17, 2,002.62 and 821.86 is: 1,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.17 : 2,002.62 = 821.86 : x
  2. Step 2: Convert to fraction form
    1,451.17/2,002.62 = 821.86/x
  3. Step 3: Cross multiply
    1,451.17x = 2,002.62 × 821.86
  4. Step 4: Simplify right side
    1,451.17x = 1,645,873.27
  5. Step 5: Solve for x
    x = 1,645,873.27/1,451.17
  6. Step 6: Final answer
    x = 1,134.17

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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.