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Finding the Fourth Proportional to 3,388.76, 5,070.36 and 2,002.88

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Solution

The fourth proportional to 3,388.76, 5,070.36 and 2,002.88 is: 2,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.76 : 5,070.36 = 2,002.88 : x
  2. Step 2: Convert to fraction form
    3,388.76/5,070.36 = 2,002.88/x
  3. Step 3: Cross multiply
    3,388.76x = 5,070.36 × 2,002.88
  4. Step 4: Simplify right side
    3,388.76x = 10,155,322.64
  5. Step 5: Solve for x
    x = 10,155,322.64/3,388.76
  6. Step 6: Final answer
    x = 2,996.77

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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.