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Finding the Fourth Proportional to 2,174.92, 3,001.62 and 1,291

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Solution

The fourth proportional to 2,174.92, 3,001.62 and 1,291 is: 1,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.92 : 3,001.62 = 1,291 : x
  2. Step 2: Convert to fraction form
    2,174.92/3,001.62 = 1,291/x
  3. Step 3: Cross multiply
    2,174.92x = 3,001.62 × 1,291
  4. Step 4: Simplify right side
    2,174.92x = 3,875,091.42
  5. Step 5: Solve for x
    x = 3,875,091.42/2,174.92
  6. Step 6: Final answer
    x = 1,781.72

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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.