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Finding the Fourth Proportional to 13,415.90, 18,514.17 and 7,447.41

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Solution

The fourth proportional to 13,415.90, 18,514.17 and 7,447.41 is: 10,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.90 : 18,514.17 = 7,447.41 : x
  2. Step 2: Convert to fraction form
    13,415.90/18,514.17 = 7,447.41/x
  3. Step 3: Cross multiply
    13,415.90x = 18,514.17 × 7,447.41
  4. Step 4: Simplify right side
    13,415.90x = 137,882,614.80
  5. Step 5: Solve for x
    x = 137,882,614.80/13,415.90
  6. Step 6: Final answer
    x = 10,277.56

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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.