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Finding the Fourth Proportional to 1,918.80, 2,691.79 and 1,918.80

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Solution

The fourth proportional to 1,918.80, 2,691.79 and 1,918.80 is: 2,691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.80 : 2,691.79 = 1,918.80 : x
  2. Step 2: Convert to fraction form
    1,918.80/2,691.79 = 1,918.80/x
  3. Step 3: Cross multiply
    1,918.80x = 2,691.79 × 1,918.80
  4. Step 4: Simplify right side
    1,918.80x = 5,165,001.86
  5. Step 5: Solve for x
    x = 5,165,001.86/1,918.80
  6. Step 6: Final answer
    x = 2,691.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.