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Finding the Fourth Proportional to 2,889.12, 3,987 and 2,712.90

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Solution

The fourth proportional to 2,889.12, 3,987 and 2,712.90 is: 3,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.12 : 3,987 = 2,712.90 : x
  2. Step 2: Convert to fraction form
    2,889.12/3,987 = 2,712.90/x
  3. Step 3: Cross multiply
    2,889.12x = 3,987 × 2,712.90
  4. Step 4: Simplify right side
    2,889.12x = 10,816,332.30
  5. Step 5: Solve for x
    x = 10,816,332.30/2,889.12
  6. Step 6: Final answer
    x = 3,743.82

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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.