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Finding the Fourth Proportional to 15,102.05, 20,843.10 and 10,867.13

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Solution

The fourth proportional to 15,102.05, 20,843.10 and 10,867.13 is: 14,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.05 : 20,843.10 = 10,867.13 : x
  2. Step 2: Convert to fraction form
    15,102.05/20,843.10 = 10,867.13/x
  3. Step 3: Cross multiply
    15,102.05x = 20,843.10 × 10,867.13
  4. Step 4: Simplify right side
    15,102.05x = 226,504,625.20
  5. Step 5: Solve for x
    x = 226,504,625.20/15,102.05
  6. Step 6: Final answer
    x = 14,998.27

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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.