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Finding the Fourth Proportional to 11,357.54, 15,669.04 and 8,380.47

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Solution

The fourth proportional to 11,357.54, 15,669.04 and 8,380.47 is: 11,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.54 : 15,669.04 = 8,380.47 : x
  2. Step 2: Convert to fraction form
    11,357.54/15,669.04 = 8,380.47/x
  3. Step 3: Cross multiply
    11,357.54x = 15,669.04 × 8,380.47
  4. Step 4: Simplify right side
    11,357.54x = 131,313,919.65
  5. Step 5: Solve for x
    x = 131,313,919.65/11,357.54
  6. Step 6: Final answer
    x = 11,561.83

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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.