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Finding the Fourth Proportional to 15,118.56, 22,645.02 and 7,311

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Solution

The fourth proportional to 15,118.56, 22,645.02 and 7,311 is: 10,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,118.56 : 22,645.02 = 7,311 : x
  2. Step 2: Convert to fraction form
    15,118.56/22,645.02 = 7,311/x
  3. Step 3: Cross multiply
    15,118.56x = 22,645.02 × 7,311
  4. Step 4: Simplify right side
    15,118.56x = 165,557,741.22
  5. Step 5: Solve for x
    x = 165,557,741.22/15,118.56
  6. Step 6: Final answer
    x = 10,950.63

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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.