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Finding the Fourth Proportional to 2,174.78, 3,001.19 and 1,290.74

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Solution

The fourth proportional to 2,174.78, 3,001.19 and 1,290.74 is: 1,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.78 : 3,001.19 = 1,290.74 : x
  2. Step 2: Convert to fraction form
    2,174.78/3,001.19 = 1,290.74/x
  3. Step 3: Cross multiply
    2,174.78x = 3,001.19 × 1,290.74
  4. Step 4: Simplify right side
    2,174.78x = 3,873,734.52
  5. Step 5: Solve for x
    x = 3,873,734.52/2,174.78
  6. Step 6: Final answer
    x = 1,781.21

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1.5x scale

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.