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Finding the Fourth Proportional to 2,880.76, 3,972.18 and 2,504.44

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Solution

The fourth proportional to 2,880.76, 3,972.18 and 2,504.44 is: 3,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.76 : 3,972.18 = 2,504.44 : x
  2. Step 2: Convert to fraction form
    2,880.76/3,972.18 = 2,504.44/x
  3. Step 3: Cross multiply
    2,880.76x = 3,972.18 × 2,504.44
  4. Step 4: Simplify right side
    2,880.76x = 9,948,086.48
  5. Step 5: Solve for x
    x = 9,948,086.48/2,880.76
  6. Step 6: Final answer
    x = 3,453.29

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Half scale
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Double 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.