Home / 1,514.52-2,272.64-821.20

Finding the Fourth Proportional to 1,514.52, 2,272.64 and 821.20

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Solution

The fourth proportional to 1,514.52, 2,272.64 and 821.20 is: 1,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.52 : 2,272.64 = 821.20 : x
  2. Step 2: Convert to fraction form
    1,514.52/2,272.64 = 821.20/x
  3. Step 3: Cross multiply
    1,514.52x = 2,272.64 × 821.20
  4. Step 4: Simplify right side
    1,514.52x = 1,866,291.97
  5. Step 5: Solve for x
    x = 1,866,291.97/1,514.52
  6. Step 6: Final answer
    x = 1,232.27

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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.