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Finding the Fourth Proportional to 2,579.83, 3,864.27 and 1,654.81

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Solution

The fourth proportional to 2,579.83, 3,864.27 and 1,654.81 is: 2,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.83 : 3,864.27 = 1,654.81 : x
  2. Step 2: Convert to fraction form
    2,579.83/3,864.27 = 1,654.81/x
  3. Step 3: Cross multiply
    2,579.83x = 3,864.27 × 1,654.81
  4. Step 4: Simplify right side
    2,579.83x = 6,394,632.64
  5. Step 5: Solve for x
    x = 6,394,632.64/2,579.83
  6. Step 6: Final answer
    x = 2,478.70

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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.