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Finding the Fourth Proportional to 7,225.97, 9,971.85 and 4,082.16

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Solution

The fourth proportional to 7,225.97, 9,971.85 and 4,082.16 is: 5,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.97 : 9,971.85 = 4,082.16 : x
  2. Step 2: Convert to fraction form
    7,225.97/9,971.85 = 4,082.16/x
  3. Step 3: Cross multiply
    7,225.97x = 9,971.85 × 4,082.16
  4. Step 4: Simplify right side
    7,225.97x = 40,706,616.93
  5. Step 5: Solve for x
    x = 40,706,616.93/7,225.97
  6. Step 6: Final answer
    x = 5,633.38

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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.