Home / 2,282.64-3,421.80-1,127.04

Finding the Fourth Proportional to 2,282.64, 3,421.80 and 1,127.04

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Solution

The fourth proportional to 2,282.64, 3,421.80 and 1,127.04 is: 1,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.64 : 3,421.80 = 1,127.04 : x
  2. Step 2: Convert to fraction form
    2,282.64/3,421.80 = 1,127.04/x
  3. Step 3: Cross multiply
    2,282.64x = 3,421.80 × 1,127.04
  4. Step 4: Simplify right side
    2,282.64x = 3,856,505.47
  5. Step 5: Solve for x
    x = 3,856,505.47/2,282.64
  6. Step 6: Final answer
    x = 1,689.49

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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.