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Finding the Fourth Proportional to 10,942.76, 15,100.98 and 5,974.76

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Solution

The fourth proportional to 10,942.76, 15,100.98 and 5,974.76 is: 8,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.76 : 15,100.98 = 5,974.76 : x
  2. Step 2: Convert to fraction form
    10,942.76/15,100.98 = 5,974.76/x
  3. Step 3: Cross multiply
    10,942.76x = 15,100.98 × 5,974.76
  4. Step 4: Simplify right side
    10,942.76x = 90,224,731.26
  5. Step 5: Solve for x
    x = 90,224,731.26/10,942.76
  6. Step 6: Final answer
    x = 8,245.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.