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Finding the Fourth Proportional to 2,174.55, 3,001.02 and 1,290.30

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Solution

The fourth proportional to 2,174.55, 3,001.02 and 1,290.30 is: 1,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.55 : 3,001.02 = 1,290.30 : x
  2. Step 2: Convert to fraction form
    2,174.55/3,001.02 = 1,290.30/x
  3. Step 3: Cross multiply
    2,174.55x = 3,001.02 × 1,290.30
  4. Step 4: Simplify right side
    2,174.55x = 3,872,216.11
  5. Step 5: Solve for x
    x = 3,872,216.11/2,174.55
  6. Step 6: Final answer
    x = 1,780.70

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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.