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Finding the Fourth Proportional to 2,200.72, 3,302.32 and 903.12

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Solution

The fourth proportional to 2,200.72, 3,302.32 and 903.12 is: 1,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.72 : 3,302.32 = 903.12 : x
  2. Step 2: Convert to fraction form
    2,200.72/3,302.32 = 903.12/x
  3. Step 3: Cross multiply
    2,200.72x = 3,302.32 × 903.12
  4. Step 4: Simplify right side
    2,200.72x = 2,982,391.24
  5. Step 5: Solve for x
    x = 2,982,391.24/2,200.72
  6. Step 6: Final answer
    x = 1,355.19

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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.