Home / 1,987.16-2,742.44-1,103.18

Finding the Fourth Proportional to 1,987.16, 2,742.44 and 1,103.18

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Solution

The fourth proportional to 1,987.16, 2,742.44 and 1,103.18 is: 1,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.16 : 2,742.44 = 1,103.18 : x
  2. Step 2: Convert to fraction form
    1,987.16/2,742.44 = 1,103.18/x
  3. Step 3: Cross multiply
    1,987.16x = 2,742.44 × 1,103.18
  4. Step 4: Simplify right side
    1,987.16x = 3,025,385.73
  5. Step 5: Solve for x
    x = 3,025,385.73/1,987.16
  6. Step 6: Final answer
    x = 1,522.47

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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.