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Finding the Fourth Proportional to 2,578.80, 3,868.20 and 934.96

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Solution

The fourth proportional to 2,578.80, 3,868.20 and 934.96 is: 1,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.80 : 3,868.20 = 934.96 : x
  2. Step 2: Convert to fraction form
    2,578.80/3,868.20 = 934.96/x
  3. Step 3: Cross multiply
    2,578.80x = 3,868.20 × 934.96
  4. Step 4: Simplify right side
    2,578.80x = 3,616,612.27
  5. Step 5: Solve for x
    x = 3,616,612.27/2,578.80
  6. Step 6: Final answer
    x = 1,402.44

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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.