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Finding the Fourth Proportional to 11,314.68, 15,629.47 and 8,694.83

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Solution

The fourth proportional to 11,314.68, 15,629.47 and 8,694.83 is: 12,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.68 : 15,629.47 = 8,694.83 : x
  2. Step 2: Convert to fraction form
    11,314.68/15,629.47 = 8,694.83/x
  3. Step 3: Cross multiply
    11,314.68x = 15,629.47 × 8,694.83
  4. Step 4: Simplify right side
    11,314.68x = 135,895,584.64
  5. Step 5: Solve for x
    x = 135,895,584.64/11,314.68
  6. Step 6: Final answer
    x = 12,010.55

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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.