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Finding the Fourth Proportional to 11,538.54, 15,914.12 and 8,352.30

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Solution

The fourth proportional to 11,538.54, 15,914.12 and 8,352.30 is: 11,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.54 : 15,914.12 = 8,352.30 : x
  2. Step 2: Convert to fraction form
    11,538.54/15,914.12 = 8,352.30/x
  3. Step 3: Cross multiply
    11,538.54x = 15,914.12 × 8,352.30
  4. Step 4: Simplify right side
    11,538.54x = 132,919,462.71
  5. Step 5: Solve for x
    x = 132,919,462.71/11,538.54
  6. Step 6: Final answer
    x = 11,519.61

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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.