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Finding the Fourth Proportional to 11,863.16, 17,789.28 and 6,934.32

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Solution

The fourth proportional to 11,863.16, 17,789.28 and 6,934.32 is: 10,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.16 : 17,789.28 = 6,934.32 : x
  2. Step 2: Convert to fraction form
    11,863.16/17,789.28 = 6,934.32/x
  3. Step 3: Cross multiply
    11,863.16x = 17,789.28 × 6,934.32
  4. Step 4: Simplify right side
    11,863.16x = 123,356,560.09
  5. Step 5: Solve for x
    x = 123,356,560.09/11,863.16
  6. Step 6: Final answer
    x = 10,398.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.