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Finding the Fourth Proportional to 3,948.64, 5,922.76 and 2,000.80

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Solution

The fourth proportional to 3,948.64, 5,922.76 and 2,000.80 is: 3,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.64 : 5,922.76 = 2,000.80 : x
  2. Step 2: Convert to fraction form
    3,948.64/5,922.76 = 2,000.80/x
  3. Step 3: Cross multiply
    3,948.64x = 5,922.76 × 2,000.80
  4. Step 4: Simplify right side
    3,948.64x = 11,850,258.21
  5. Step 5: Solve for x
    x = 11,850,258.21/3,948.64
  6. Step 6: Final answer
    x = 3,001.10

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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.