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Finding the Fourth Proportional to 7,101.78, 10,654.23 and 2,171.79

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Solution

The fourth proportional to 7,101.78, 10,654.23 and 2,171.79 is: 3,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.78 : 10,654.23 = 2,171.79 : x
  2. Step 2: Convert to fraction form
    7,101.78/10,654.23 = 2,171.79/x
  3. Step 3: Cross multiply
    7,101.78x = 10,654.23 × 2,171.79
  4. Step 4: Simplify right side
    7,101.78x = 23,138,750.17
  5. Step 5: Solve for x
    x = 23,138,750.17/7,101.78
  6. Step 6: Final answer
    x = 3,258.16

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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.