Home / 1,557.46-2,149.24-849.28

Finding the Fourth Proportional to 1,557.46, 2,149.24 and 849.28

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Solution

The fourth proportional to 1,557.46, 2,149.24 and 849.28 is: 1,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.46 : 2,149.24 = 849.28 : x
  2. Step 2: Convert to fraction form
    1,557.46/2,149.24 = 849.28/x
  3. Step 3: Cross multiply
    1,557.46x = 2,149.24 × 849.28
  4. Step 4: Simplify right side
    1,557.46x = 1,825,306.55
  5. Step 5: Solve for x
    x = 1,825,306.55/1,557.46
  6. Step 6: Final answer
    x = 1,171.98

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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.