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Finding the Fourth Proportional to 27,785, 41,694.52 and 11,143.28

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Solution

The fourth proportional to 27,785, 41,694.52 and 11,143.28 is: 16,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785 : 41,694.52 = 11,143.28 : x
  2. Step 2: Convert to fraction form
    27,785/41,694.52 = 11,143.28/x
  3. Step 3: Cross multiply
    27,785x = 41,694.52 × 11,143.28
  4. Step 4: Simplify right side
    27,785x = 464,613,710.83
  5. Step 5: Solve for x
    x = 464,613,710.83/27,785
  6. Step 6: Final answer
    x = 16,721.75

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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.