Home / 1,157.88-1,587.17-1,142.31

Finding the Fourth Proportional to 1,157.88, 1,587.17 and 1,142.31

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Solution

The fourth proportional to 1,157.88, 1,587.17 and 1,142.31 is: 1,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.88 : 1,587.17 = 1,142.31 : x
  2. Step 2: Convert to fraction form
    1,157.88/1,587.17 = 1,142.31/x
  3. Step 3: Cross multiply
    1,157.88x = 1,587.17 × 1,142.31
  4. Step 4: Simplify right side
    1,157.88x = 1,813,034.45
  5. Step 5: Solve for x
    x = 1,813,034.45/1,157.88
  6. Step 6: Final answer
    x = 1,565.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.