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Finding the Fourth Proportional to 20,916.92, 28,865.76 and 11,486

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Solution

The fourth proportional to 20,916.92, 28,865.76 and 11,486 is: 15,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916.92 : 28,865.76 = 11,486 : x
  2. Step 2: Convert to fraction form
    20,916.92/28,865.76 = 11,486/x
  3. Step 3: Cross multiply
    20,916.92x = 28,865.76 × 11,486
  4. Step 4: Simplify right side
    20,916.92x = 331,552,119.36
  5. Step 5: Solve for x
    x = 331,552,119.36/20,916.92
  6. Step 6: Final answer
    x = 15,850.91

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Why These Related Problems?

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