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Finding the Fourth Proportional to 2,174.97, 3,000.99 and 1,291.06

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Solution

The fourth proportional to 2,174.97, 3,000.99 and 1,291.06 is: 1,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.97 : 3,000.99 = 1,291.06 : x
  2. Step 2: Convert to fraction form
    2,174.97/3,000.99 = 1,291.06/x
  3. Step 3: Cross multiply
    2,174.97x = 3,000.99 × 1,291.06
  4. Step 4: Simplify right side
    2,174.97x = 3,874,443.14
  5. Step 5: Solve for x
    x = 3,874,443.14/2,174.97
  6. Step 6: Final answer
    x = 1,781.38

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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.