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Finding the Fourth Proportional to 7,891.84, 11,837.60 and 2,048

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Solution

The fourth proportional to 7,891.84, 11,837.60 and 2,048 is: 3,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.84 : 11,837.60 = 2,048 : x
  2. Step 2: Convert to fraction form
    7,891.84/11,837.60 = 2,048/x
  3. Step 3: Cross multiply
    7,891.84x = 11,837.60 × 2,048
  4. Step 4: Simplify right side
    7,891.84x = 24,243,404.80
  5. Step 5: Solve for x
    x = 24,243,404.80/7,891.84
  6. Step 6: Final answer
    x = 3,071.96

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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.