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Finding the Fourth Proportional to 1,882.78, 2,824.17 and 910.78

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Solution

The fourth proportional to 1,882.78, 2,824.17 and 910.78 is: 1,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.78 : 2,824.17 = 910.78 : x
  2. Step 2: Convert to fraction form
    1,882.78/2,824.17 = 910.78/x
  3. Step 3: Cross multiply
    1,882.78x = 2,824.17 × 910.78
  4. Step 4: Simplify right side
    1,882.78x = 2,572,197.55
  5. Step 5: Solve for x
    x = 2,572,197.55/1,882.78
  6. Step 6: Final answer
    x = 1,366.17

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Similar ratio
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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.