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Finding the Fourth Proportional to 19,743, 27,245.34 and 10,911

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Solution

The fourth proportional to 19,743, 27,245.34 and 10,911 is: 15,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743 : 27,245.34 = 10,911 : x
  2. Step 2: Convert to fraction form
    19,743/27,245.34 = 10,911/x
  3. Step 3: Cross multiply
    19,743x = 27,245.34 × 10,911
  4. Step 4: Simplify right side
    19,743x = 297,273,904.74
  5. Step 5: Solve for x
    x = 297,273,904.74/19,743
  6. Step 6: Final answer
    x = 15,057.18

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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.