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Finding the Fourth Proportional to 3,508.80, 4,842.06 and 2,182

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Solution

The fourth proportional to 3,508.80, 4,842.06 and 2,182 is: 3,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.80 : 4,842.06 = 2,182 : x
  2. Step 2: Convert to fraction form
    3,508.80/4,842.06 = 2,182/x
  3. Step 3: Cross multiply
    3,508.80x = 4,842.06 × 2,182
  4. Step 4: Simplify right side
    3,508.80x = 10,565,374.92
  5. Step 5: Solve for x
    x = 10,565,374.92/3,508.80
  6. Step 6: Final answer
    x = 3,011.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.