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Finding the Fourth Proportional to 6,811.52, 10,219.90 and 2,654.47

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Solution

The fourth proportional to 6,811.52, 10,219.90 and 2,654.47 is: 3,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.52 : 10,219.90 = 2,654.47 : x
  2. Step 2: Convert to fraction form
    6,811.52/10,219.90 = 2,654.47/x
  3. Step 3: Cross multiply
    6,811.52x = 10,219.90 × 2,654.47
  4. Step 4: Simplify right side
    6,811.52x = 27,128,465.28
  5. Step 5: Solve for x
    x = 27,128,465.28/6,811.52
  6. Step 6: Final answer
    x = 3,982.73

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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.