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Finding the Fourth Proportional to 15,175.68, 20,942.46 and 8,803.49

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Solution

The fourth proportional to 15,175.68, 20,942.46 and 8,803.49 is: 12,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.68 : 20,942.46 = 8,803.49 : x
  2. Step 2: Convert to fraction form
    15,175.68/20,942.46 = 8,803.49/x
  3. Step 3: Cross multiply
    15,175.68x = 20,942.46 × 8,803.49
  4. Step 4: Simplify right side
    15,175.68x = 184,366,632.47
  5. Step 5: Solve for x
    x = 184,366,632.47/15,175.68
  6. Step 6: Final answer
    x = 12,148.82

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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.