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Finding the Fourth Proportional to 27,384, 41,071.88 and 7,660

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Solution

The fourth proportional to 27,384, 41,071.88 and 7,660 is: 11,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384 : 41,071.88 = 7,660 : x
  2. Step 2: Convert to fraction form
    27,384/41,071.88 = 7,660/x
  3. Step 3: Cross multiply
    27,384x = 41,071.88 × 7,660
  4. Step 4: Simplify right side
    27,384x = 314,610,600.80
  5. Step 5: Solve for x
    x = 314,610,600.80/27,384
  6. Step 6: Final answer
    x = 11,488.85

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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.