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Finding the Fourth Proportional to 3,882.78, 5,359.77 and 2,984.76

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Solution

The fourth proportional to 3,882.78, 5,359.77 and 2,984.76 is: 4,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.78 : 5,359.77 = 2,984.76 : x
  2. Step 2: Convert to fraction form
    3,882.78/5,359.77 = 2,984.76/x
  3. Step 3: Cross multiply
    3,882.78x = 5,359.77 × 2,984.76
  4. Step 4: Simplify right side
    3,882.78x = 15,997,627.11
  5. Step 5: Solve for x
    x = 15,997,627.11/3,882.78
  6. Step 6: Final answer
    x = 4,120.15

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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.