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Finding the Fourth Proportional to 2,902.08, 4,002.56 and 2,552

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Solution

The fourth proportional to 2,902.08, 4,002.56 and 2,552 is: 3,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.08 : 4,002.56 = 2,552 : x
  2. Step 2: Convert to fraction form
    2,902.08/4,002.56 = 2,552/x
  3. Step 3: Cross multiply
    2,902.08x = 4,002.56 × 2,552
  4. Step 4: Simplify right side
    2,902.08x = 10,214,533.12
  5. Step 5: Solve for x
    x = 10,214,533.12/2,902.08
  6. Step 6: Final answer
    x = 3,519.73

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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.