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Finding the Fourth Proportional to 6,781, 10,171.56 and 2,399.20

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Solution

The fourth proportional to 6,781, 10,171.56 and 2,399.20 is: 3,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781 : 10,171.56 = 2,399.20 : x
  2. Step 2: Convert to fraction form
    6,781/10,171.56 = 2,399.20/x
  3. Step 3: Cross multiply
    6,781x = 10,171.56 × 2,399.20
  4. Step 4: Simplify right side
    6,781x = 24,403,606.75
  5. Step 5: Solve for x
    x = 24,403,606.75/6,781
  6. Step 6: Final answer
    x = 3,598.82

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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.