Home / 1,151.40-1,587.74-986.16

Finding the Fourth Proportional to 1,151.40, 1,587.74 and 986.16

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Solution

The fourth proportional to 1,151.40, 1,587.74 and 986.16 is: 1,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.40 : 1,587.74 = 986.16 : x
  2. Step 2: Convert to fraction form
    1,151.40/1,587.74 = 986.16/x
  3. Step 3: Cross multiply
    1,151.40x = 1,587.74 × 986.16
  4. Step 4: Simplify right side
    1,151.40x = 1,565,765.68
  5. Step 5: Solve for x
    x = 1,565,765.68/1,151.40
  6. Step 6: Final answer
    x = 1,359.88

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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.