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Finding the Fourth Proportional to 12,381.91, 17,082.87 and 7,072.97

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Solution

The fourth proportional to 12,381.91, 17,082.87 and 7,072.97 is: 9,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.91 : 17,082.87 = 7,072.97 : x
  2. Step 2: Convert to fraction form
    12,381.91/17,082.87 = 7,072.97/x
  3. Step 3: Cross multiply
    12,381.91x = 17,082.87 × 7,072.97
  4. Step 4: Simplify right side
    12,381.91x = 120,826,541.61
  5. Step 5: Solve for x
    x = 120,826,541.61/12,381.91
  6. Step 6: Final answer
    x = 9,758.31

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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.