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Finding the Fourth Proportional to 7,082.90, 9,773.61 and 3,938.90

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Solution

The fourth proportional to 7,082.90, 9,773.61 and 3,938.90 is: 5,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.90 : 9,773.61 = 3,938.90 : x
  2. Step 2: Convert to fraction form
    7,082.90/9,773.61 = 3,938.90/x
  3. Step 3: Cross multiply
    7,082.90x = 9,773.61 × 3,938.90
  4. Step 4: Simplify right side
    7,082.90x = 38,497,272.43
  5. Step 5: Solve for x
    x = 38,497,272.43/7,082.90
  6. Step 6: Final answer
    x = 5,435.24

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1.5x scale

Why These Related Problems?

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