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Finding the Fourth Proportional to 27,115, 37,418.68 and 15,181.13

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Solution

The fourth proportional to 27,115, 37,418.68 and 15,181.13 is: 20,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,115 : 37,418.68 = 15,181.13 : x
  2. Step 2: Convert to fraction form
    27,115/37,418.68 = 15,181.13/x
  3. Step 3: Cross multiply
    27,115x = 37,418.68 × 15,181.13
  4. Step 4: Simplify right side
    27,115x = 568,057,845.51
  5. Step 5: Solve for x
    x = 568,057,845.51/27,115
  6. Step 6: Final answer
    x = 20,949.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.