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Finding the Fourth Proportional to 2,850.32, 4,275.72 and 902

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Solution

The fourth proportional to 2,850.32, 4,275.72 and 902 is: 1,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.32 : 4,275.72 = 902 : x
  2. Step 2: Convert to fraction form
    2,850.32/4,275.72 = 902/x
  3. Step 3: Cross multiply
    2,850.32x = 4,275.72 × 902
  4. Step 4: Simplify right side
    2,850.32x = 3,856,699.44
  5. Step 5: Solve for x
    x = 3,856,699.44/2,850.32
  6. Step 6: Final answer
    x = 1,353.08

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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.