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Finding the Fourth Proportional to 7,082.32, 9,772.98 and 3,938.68

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Solution

The fourth proportional to 7,082.32, 9,772.98 and 3,938.68 is: 5,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.32 : 9,772.98 = 3,938.68 : x
  2. Step 2: Convert to fraction form
    7,082.32/9,772.98 = 3,938.68/x
  3. Step 3: Cross multiply
    7,082.32x = 9,772.98 × 3,938.68
  4. Step 4: Simplify right side
    7,082.32x = 38,492,640.87
  5. Step 5: Solve for x
    x = 38,492,640.87/7,082.32
  6. Step 6: Final answer
    x = 5,435.03

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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.