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Finding the Fourth Proportional to 10,754.14, 16,123.84 and 5,478.94

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Solution

The fourth proportional to 10,754.14, 16,123.84 and 5,478.94 is: 8,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.14 : 16,123.84 = 5,478.94 : x
  2. Step 2: Convert to fraction form
    10,754.14/16,123.84 = 5,478.94/x
  3. Step 3: Cross multiply
    10,754.14x = 16,123.84 × 5,478.94
  4. Step 4: Simplify right side
    10,754.14x = 88,341,524.53
  5. Step 5: Solve for x
    x = 88,341,524.53/10,754.14
  6. Step 6: Final answer
    x = 8,214.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.