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Finding the Fourth Proportional to 2,982.98, 4,472.72 and 902.36

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Solution

The fourth proportional to 2,982.98, 4,472.72 and 902.36 is: 1,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.98 : 4,472.72 = 902.36 : x
  2. Step 2: Convert to fraction form
    2,982.98/4,472.72 = 902.36/x
  3. Step 3: Cross multiply
    2,982.98x = 4,472.72 × 902.36
  4. Step 4: Simplify right side
    2,982.98x = 4,035,976.74
  5. Step 5: Solve for x
    x = 4,035,976.74/2,982.98
  6. Step 6: Final answer
    x = 1,353.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.