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Finding the Fourth Proportional to 27,647.68, 41,463.02 and 7,920.94

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Solution

The fourth proportional to 27,647.68, 41,463.02 and 7,920.94 is: 11,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.68 : 41,463.02 = 7,920.94 : x
  2. Step 2: Convert to fraction form
    27,647.68/41,463.02 = 7,920.94/x
  3. Step 3: Cross multiply
    27,647.68x = 41,463.02 × 7,920.94
  4. Step 4: Simplify right side
    27,647.68x = 328,426,093.64
  5. Step 5: Solve for x
    x = 328,426,093.64/27,647.68
  6. Step 6: Final answer
    x = 11,878.97

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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.