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Finding the Fourth Proportional to 1,986.31, 2,741.16 and 1,102.20

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Solution

The fourth proportional to 1,986.31, 2,741.16 and 1,102.20 is: 1,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.31 : 2,741.16 = 1,102.20 : x
  2. Step 2: Convert to fraction form
    1,986.31/2,741.16 = 1,102.20/x
  3. Step 3: Cross multiply
    1,986.31x = 2,741.16 × 1,102.20
  4. Step 4: Simplify right side
    1,986.31x = 3,021,306.55
  5. Step 5: Solve for x
    x = 3,021,306.55/1,986.31
  6. Step 6: Final answer
    x = 1,521.06

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1.5x scale

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.