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Finding the Fourth Proportional to 11,578.12, 15,975.78 and 6,863.56

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Solution

The fourth proportional to 11,578.12, 15,975.78 and 6,863.56 is: 9,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.12 : 15,975.78 = 6,863.56 : x
  2. Step 2: Convert to fraction form
    11,578.12/15,975.78 = 6,863.56/x
  3. Step 3: Cross multiply
    11,578.12x = 15,975.78 × 6,863.56
  4. Step 4: Simplify right side
    11,578.12x = 109,650,724.58
  5. Step 5: Solve for x
    x = 109,650,724.58/11,578.12
  6. Step 6: Final answer
    x = 9,470.51

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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.