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Finding the Fourth Proportional to 7,082.38, 9,774.03 and 3,938.50

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Solution

The fourth proportional to 7,082.38, 9,774.03 and 3,938.50 is: 5,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.38 : 9,774.03 = 3,938.50 : x
  2. Step 2: Convert to fraction form
    7,082.38/9,774.03 = 3,938.50/x
  3. Step 3: Cross multiply
    7,082.38x = 9,774.03 × 3,938.50
  4. Step 4: Simplify right side
    7,082.38x = 38,495,017.16
  5. Step 5: Solve for x
    x = 38,495,017.16/7,082.38
  6. Step 6: Final answer
    x = 5,435.32

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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.