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Finding the Fourth Proportional to 1,986.99, 2,742 and 1,102.79

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Solution

The fourth proportional to 1,986.99, 2,742 and 1,102.79 is: 1,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.99 : 2,742 = 1,102.79 : x
  2. Step 2: Convert to fraction form
    1,986.99/2,742 = 1,102.79/x
  3. Step 3: Cross multiply
    1,986.99x = 2,742 × 1,102.79
  4. Step 4: Simplify right side
    1,986.99x = 3,023,850.18
  5. Step 5: Solve for x
    x = 3,023,850.18/1,986.99
  6. Step 6: Final answer
    x = 1,521.82

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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.