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Finding the Fourth Proportional to 18,942.74, 28,377.74 and 10,597.47

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Solution

The fourth proportional to 18,942.74, 28,377.74 and 10,597.47 is: 15,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,942.74 : 28,377.74 = 10,597.47 : x
  2. Step 2: Convert to fraction form
    18,942.74/28,377.74 = 10,597.47/x
  3. Step 3: Cross multiply
    18,942.74x = 28,377.74 × 10,597.47
  4. Step 4: Simplify right side
    18,942.74x = 300,732,053.44
  5. Step 5: Solve for x
    x = 300,732,053.44/18,942.74
  6. Step 6: Final answer
    x = 15,875.85

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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.