Home / 2,577.44-3,864.36-821.86

Finding the Fourth Proportional to 2,577.44, 3,864.36 and 821.86

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Solution

The fourth proportional to 2,577.44, 3,864.36 and 821.86 is: 1,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.44 : 3,864.36 = 821.86 : x
  2. Step 2: Convert to fraction form
    2,577.44/3,864.36 = 821.86/x
  3. Step 3: Cross multiply
    2,577.44x = 3,864.36 × 821.86
  4. Step 4: Simplify right side
    2,577.44x = 3,175,962.91
  5. Step 5: Solve for x
    x = 3,175,962.91/2,577.44
  6. Step 6: Final answer
    x = 1,232.22

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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.