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Finding the Fourth Proportional to 2,849.85, 4,275.53 and 902.05

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Solution

The fourth proportional to 2,849.85, 4,275.53 and 902.05 is: 1,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.85 : 4,275.53 = 902.05 : x
  2. Step 2: Convert to fraction form
    2,849.85/4,275.53 = 902.05/x
  3. Step 3: Cross multiply
    2,849.85x = 4,275.53 × 902.05
  4. Step 4: Simplify right side
    2,849.85x = 3,856,715.95
  5. Step 5: Solve for x
    x = 3,856,715.95/2,849.85
  6. Step 6: Final answer
    x = 1,353.31

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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.