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Finding the Fourth Proportional to 2,654.70, 3,981.46 and 1,610.96

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Solution

The fourth proportional to 2,654.70, 3,981.46 and 1,610.96 is: 2,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.70 : 3,981.46 = 1,610.96 : x
  2. Step 2: Convert to fraction form
    2,654.70/3,981.46 = 1,610.96/x
  3. Step 3: Cross multiply
    2,654.70x = 3,981.46 × 1,610.96
  4. Step 4: Simplify right side
    2,654.70x = 6,413,961.42
  5. Step 5: Solve for x
    x = 6,413,961.42/2,654.70
  6. Step 6: Final answer
    x = 2,416.08

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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.