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Finding the Fourth Proportional to 8,842, 12,202.74 and 4,863.97

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Solution

The fourth proportional to 8,842, 12,202.74 and 4,863.97 is: 6,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842 : 12,202.74 = 4,863.97 : x
  2. Step 2: Convert to fraction form
    8,842/12,202.74 = 4,863.97/x
  3. Step 3: Cross multiply
    8,842x = 12,202.74 × 4,863.97
  4. Step 4: Simplify right side
    8,842x = 59,353,761.28
  5. Step 5: Solve for x
    x = 59,353,761.28/8,842
  6. Step 6: Final answer
    x = 6,712.71

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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.