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Finding the Fourth Proportional to 11,863.50, 16,371.92 and 7,679.04

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Solution

The fourth proportional to 11,863.50, 16,371.92 and 7,679.04 is: 10,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.50 : 16,371.92 = 7,679.04 : x
  2. Step 2: Convert to fraction form
    11,863.50/16,371.92 = 7,679.04/x
  3. Step 3: Cross multiply
    11,863.50x = 16,371.92 × 7,679.04
  4. Step 4: Simplify right side
    11,863.50x = 125,720,590.16
  5. Step 5: Solve for x
    x = 125,720,590.16/11,863.50
  6. Step 6: Final answer
    x = 10,597.26

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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.