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Finding the Fourth Proportional to 27,770, 41,657.60 and 9,049.28

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Solution

The fourth proportional to 27,770, 41,657.60 and 9,049.28 is: 13,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770 : 41,657.60 = 9,049.28 : x
  2. Step 2: Convert to fraction form
    27,770/41,657.60 = 9,049.28/x
  3. Step 3: Cross multiply
    27,770x = 41,657.60 × 9,049.28
  4. Step 4: Simplify right side
    27,770x = 376,971,286.53
  5. Step 5: Solve for x
    x = 376,971,286.53/27,770
  6. Step 6: Final answer
    x = 13,574.77

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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.