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Finding the Fourth Proportional to 2,983.23, 4,474.50 and 902.76

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Solution

The fourth proportional to 2,983.23, 4,474.50 and 902.76 is: 1,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.23 : 4,474.50 = 902.76 : x
  2. Step 2: Convert to fraction form
    2,983.23/4,474.50 = 902.76/x
  3. Step 3: Cross multiply
    2,983.23x = 4,474.50 × 902.76
  4. Step 4: Simplify right side
    2,983.23x = 4,039,399.62
  5. Step 5: Solve for x
    x = 4,039,399.62/2,983.23
  6. Step 6: Final answer
    x = 1,354.04

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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.