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Finding the Fourth Proportional to 10,977.92, 15,149.41 and 5,942.04

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Solution

The fourth proportional to 10,977.92, 15,149.41 and 5,942.04 is: 8,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.92 : 15,149.41 = 5,942.04 : x
  2. Step 2: Convert to fraction form
    10,977.92/15,149.41 = 5,942.04/x
  3. Step 3: Cross multiply
    10,977.92x = 15,149.41 × 5,942.04
  4. Step 4: Simplify right side
    10,977.92x = 90,018,400.20
  5. Step 5: Solve for x
    x = 90,018,400.20/10,977.92
  6. Step 6: Final answer
    x = 8,199.95

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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.