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Finding the Fourth Proportional to 13,800.31, 20,636.88 and 10,249.14

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Solution

The fourth proportional to 13,800.31, 20,636.88 and 10,249.14 is: 15,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.31 : 20,636.88 = 10,249.14 : x
  2. Step 2: Convert to fraction form
    13,800.31/20,636.88 = 10,249.14/x
  3. Step 3: Cross multiply
    13,800.31x = 20,636.88 × 10,249.14
  4. Step 4: Simplify right side
    13,800.31x = 211,510,272.28
  5. Step 5: Solve for x
    x = 211,510,272.28/13,800.31
  6. Step 6: Final answer
    x = 15,326.49

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1.5x scale

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.