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Finding the Fourth Proportional to 27,714, 38,245.32 and 15,138.75

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Solution

The fourth proportional to 27,714, 38,245.32 and 15,138.75 is: 20,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714 : 38,245.32 = 15,138.75 : x
  2. Step 2: Convert to fraction form
    27,714/38,245.32 = 15,138.75/x
  3. Step 3: Cross multiply
    27,714x = 38,245.32 × 15,138.75
  4. Step 4: Simplify right side
    27,714x = 578,986,338.15
  5. Step 5: Solve for x
    x = 578,986,338.15/27,714
  6. Step 6: Final answer
    x = 20,891.48

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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.