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Finding the Fourth Proportional to 13,700.25, 18,906.02 and 7,731.76

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Solution

The fourth proportional to 13,700.25, 18,906.02 and 7,731.76 is: 10,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.25 : 18,906.02 = 7,731.76 : x
  2. Step 2: Convert to fraction form
    13,700.25/18,906.02 = 7,731.76/x
  3. Step 3: Cross multiply
    13,700.25x = 18,906.02 × 7,731.76
  4. Step 4: Simplify right side
    13,700.25x = 146,176,809.20
  5. Step 5: Solve for x
    x = 146,176,809.20/13,700.25
  6. Step 6: Final answer
    x = 10,669.65

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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.