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Finding the Fourth Proportional to 8,388.89, 12,582.60 and 2,842.11

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Solution

The fourth proportional to 8,388.89, 12,582.60 and 2,842.11 is: 4,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.89 : 12,582.60 = 2,842.11 : x
  2. Step 2: Convert to fraction form
    8,388.89/12,582.60 = 2,842.11/x
  3. Step 3: Cross multiply
    8,388.89x = 12,582.60 × 2,842.11
  4. Step 4: Simplify right side
    8,388.89x = 35,761,133.29
  5. Step 5: Solve for x
    x = 35,761,133.29/8,388.89
  6. Step 6: Final answer
    x = 4,262.92

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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.