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Finding the Fourth Proportional to 2,890, 3,987.96 and 1,631.35

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Solution

The fourth proportional to 2,890, 3,987.96 and 1,631.35 is: 2,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890 : 3,987.96 = 1,631.35 : x
  2. Step 2: Convert to fraction form
    2,890/3,987.96 = 1,631.35/x
  3. Step 3: Cross multiply
    2,890x = 3,987.96 × 1,631.35
  4. Step 4: Simplify right side
    2,890x = 6,505,758.55
  5. Step 5: Solve for x
    x = 6,505,758.55/2,890
  6. Step 6: Final answer
    x = 2,251.13

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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.