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Finding the Fourth Proportional to 2,174.69, 3,000.70 and 1,290.44

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Solution

The fourth proportional to 2,174.69, 3,000.70 and 1,290.44 is: 1,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.69 : 3,000.70 = 1,290.44 : x
  2. Step 2: Convert to fraction form
    2,174.69/3,000.70 = 1,290.44/x
  3. Step 3: Cross multiply
    2,174.69x = 3,000.70 × 1,290.44
  4. Step 4: Simplify right side
    2,174.69x = 3,872,223.31
  5. Step 5: Solve for x
    x = 3,872,223.31/2,174.69
  6. Step 6: Final answer
    x = 1,780.59

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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.