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Finding the Fourth Proportional to 2,849.70, 4,275.15 and 902.04

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Solution

The fourth proportional to 2,849.70, 4,275.15 and 902.04 is: 1,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.70 : 4,275.15 = 902.04 : x
  2. Step 2: Convert to fraction form
    2,849.70/4,275.15 = 902.04/x
  3. Step 3: Cross multiply
    2,849.70x = 4,275.15 × 902.04
  4. Step 4: Simplify right side
    2,849.70x = 3,856,356.31
  5. Step 5: Solve for x
    x = 3,856,356.31/2,849.70
  6. Step 6: Final answer
    x = 1,353.25

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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.