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Finding the Fourth Proportional to 2,193.19, 3,290.29 and 732.35

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Solution

The fourth proportional to 2,193.19, 3,290.29 and 732.35 is: 1,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.19 : 3,290.29 = 732.35 : x
  2. Step 2: Convert to fraction form
    2,193.19/3,290.29 = 732.35/x
  3. Step 3: Cross multiply
    2,193.19x = 3,290.29 × 732.35
  4. Step 4: Simplify right side
    2,193.19x = 2,409,650.28
  5. Step 5: Solve for x
    x = 2,409,650.28/2,193.19
  6. Step 6: Final answer
    x = 1,098.70

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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.