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Finding the Fourth Proportional to 3,542.70, 4,880.49 and 2,478.48

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Solution

The fourth proportional to 3,542.70, 4,880.49 and 2,478.48 is: 3,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.70 : 4,880.49 = 2,478.48 : x
  2. Step 2: Convert to fraction form
    3,542.70/4,880.49 = 2,478.48/x
  3. Step 3: Cross multiply
    3,542.70x = 4,880.49 × 2,478.48
  4. Step 4: Simplify right side
    3,542.70x = 12,096,196.86
  5. Step 5: Solve for x
    x = 12,096,196.86/3,542.70
  6. Step 6: Final answer
    x = 3,414.40

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Half scale
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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.