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Finding the Fourth Proportional to 13,857.92, 20,787.60 and 6,930.08

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Solution

The fourth proportional to 13,857.92, 20,787.60 and 6,930.08 is: 10,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.92 : 20,787.60 = 6,930.08 : x
  2. Step 2: Convert to fraction form
    13,857.92/20,787.60 = 6,930.08/x
  3. Step 3: Cross multiply
    13,857.92x = 20,787.60 × 6,930.08
  4. Step 4: Simplify right side
    13,857.92x = 144,059,731.01
  5. Step 5: Solve for x
    x = 144,059,731.01/13,857.92
  6. Step 6: Final answer
    x = 10,395.48

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1.5x scale

Why These Related Problems?

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