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Finding the Fourth Proportional to 2,862.75, 4,294.41 and 914.46

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Solution

The fourth proportional to 2,862.75, 4,294.41 and 914.46 is: 1,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.75 : 4,294.41 = 914.46 : x
  2. Step 2: Convert to fraction form
    2,862.75/4,294.41 = 914.46/x
  3. Step 3: Cross multiply
    2,862.75x = 4,294.41 × 914.46
  4. Step 4: Simplify right side
    2,862.75x = 3,927,066.17
  5. Step 5: Solve for x
    x = 3,927,066.17/2,862.75
  6. Step 6: Final answer
    x = 1,371.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.