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Finding the Fourth Proportional to 2,582.82, 3,873.81 and 2,146.87

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Solution

The fourth proportional to 2,582.82, 3,873.81 and 2,146.87 is: 3,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.82 : 3,873.81 = 2,146.87 : x
  2. Step 2: Convert to fraction form
    2,582.82/3,873.81 = 2,146.87/x
  3. Step 3: Cross multiply
    2,582.82x = 3,873.81 × 2,146.87
  4. Step 4: Simplify right side
    2,582.82x = 8,316,566.47
  5. Step 5: Solve for x
    x = 8,316,566.47/2,582.82
  6. Step 6: Final answer
    x = 3,219.96

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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.