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Finding the Fourth Proportional to 2,982.34, 4,474.21 and 902.36

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Solution

The fourth proportional to 2,982.34, 4,474.21 and 902.36 is: 1,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.34 : 4,474.21 = 902.36 : x
  2. Step 2: Convert to fraction form
    2,982.34/4,474.21 = 902.36/x
  3. Step 3: Cross multiply
    2,982.34x = 4,474.21 × 902.36
  4. Step 4: Simplify right side
    2,982.34x = 4,037,334.69
  5. Step 5: Solve for x
    x = 4,037,334.69/2,982.34
  6. Step 6: Final answer
    x = 1,353.75

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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.