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Finding the Fourth Proportional to 1,537.97, 2,122.45 and 865.89

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Solution

The fourth proportional to 1,537.97, 2,122.45 and 865.89 is: 1,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.97 : 2,122.45 = 865.89 : x
  2. Step 2: Convert to fraction form
    1,537.97/2,122.45 = 865.89/x
  3. Step 3: Cross multiply
    1,537.97x = 2,122.45 × 865.89
  4. Step 4: Simplify right side
    1,537.97x = 1,837,808.23
  5. Step 5: Solve for x
    x = 1,837,808.23/1,537.97
  6. Step 6: Final answer
    x = 1,194.96

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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.