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Finding the Fourth Proportional to 2,902.82, 4,002.14 and 2,371.14

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Solution

The fourth proportional to 2,902.82, 4,002.14 and 2,371.14 is: 3,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.82 : 4,002.14 = 2,371.14 : x
  2. Step 2: Convert to fraction form
    2,902.82/4,002.14 = 2,371.14/x
  3. Step 3: Cross multiply
    2,902.82x = 4,002.14 × 2,371.14
  4. Step 4: Simplify right side
    2,902.82x = 9,489,634.24
  5. Step 5: Solve for x
    x = 9,489,634.24/2,902.82
  6. Step 6: Final answer
    x = 3,269.11

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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.