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Finding the Fourth Proportional to 7,082.03, 9,772.80 and 3,938.15

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Solution

The fourth proportional to 7,082.03, 9,772.80 and 3,938.15 is: 5,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.03 : 9,772.80 = 3,938.15 : x
  2. Step 2: Convert to fraction form
    7,082.03/9,772.80 = 3,938.15/x
  3. Step 3: Cross multiply
    7,082.03x = 9,772.80 × 3,938.15
  4. Step 4: Simplify right side
    7,082.03x = 38,486,752.32
  5. Step 5: Solve for x
    x = 38,486,752.32/7,082.03
  6. Step 6: Final answer
    x = 5,434.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.