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Finding the Fourth Proportional to 2,878.25, 3,972.17 and 2,486.21

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Solution

The fourth proportional to 2,878.25, 3,972.17 and 2,486.21 is: 3,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.25 : 3,972.17 = 2,486.21 : x
  2. Step 2: Convert to fraction form
    2,878.25/3,972.17 = 2,486.21/x
  3. Step 3: Cross multiply
    2,878.25x = 3,972.17 × 2,486.21
  4. Step 4: Simplify right side
    2,878.25x = 9,875,635.13
  5. Step 5: Solve for x
    x = 9,875,635.13/2,878.25
  6. Step 6: Final answer
    x = 3,431.13

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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.