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Finding the Fourth Proportional to 1,091.98, 1,638.14 and 1,032.90

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Solution

The fourth proportional to 1,091.98, 1,638.14 and 1,032.90 is: 1,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.98 : 1,638.14 = 1,032.90 : x
  2. Step 2: Convert to fraction form
    1,091.98/1,638.14 = 1,032.90/x
  3. Step 3: Cross multiply
    1,091.98x = 1,638.14 × 1,032.90
  4. Step 4: Simplify right side
    1,091.98x = 1,692,029.64
  5. Step 5: Solve for x
    x = 1,692,029.64/1,091.98
  6. Step 6: Final answer
    x = 1,549.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.