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Finding the Fourth Proportional to 1,092.38, 1,638.62 and 1,037.01

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Solution

The fourth proportional to 1,092.38, 1,638.62 and 1,037.01 is: 1,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.38 : 1,638.62 = 1,037.01 : x
  2. Step 2: Convert to fraction form
    1,092.38/1,638.62 = 1,037.01/x
  3. Step 3: Cross multiply
    1,092.38x = 1,638.62 × 1,037.01
  4. Step 4: Simplify right side
    1,092.38x = 1,699,270.17
  5. Step 5: Solve for x
    x = 1,699,270.17/1,092.38
  6. Step 6: Final answer
    x = 1,555.57

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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.