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Finding the Fourth Proportional to 10,876.14, 16,315.02 and 4,215.92

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Solution

The fourth proportional to 10,876.14, 16,315.02 and 4,215.92 is: 6,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.14 : 16,315.02 = 4,215.92 : x
  2. Step 2: Convert to fraction form
    10,876.14/16,315.02 = 4,215.92/x
  3. Step 3: Cross multiply
    10,876.14x = 16,315.02 × 4,215.92
  4. Step 4: Simplify right side
    10,876.14x = 68,782,737.54
  5. Step 5: Solve for x
    x = 68,782,737.54/10,876.14
  6. Step 6: Final answer
    x = 6,324.19

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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.