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Finding the Fourth Proportional to 13,415.76, 18,514.98 and 7,447.41

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Solution

The fourth proportional to 13,415.76, 18,514.98 and 7,447.41 is: 10,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.76 : 18,514.98 = 7,447.41 : x
  2. Step 2: Convert to fraction form
    13,415.76/18,514.98 = 7,447.41/x
  3. Step 3: Cross multiply
    13,415.76x = 18,514.98 × 7,447.41
  4. Step 4: Simplify right side
    13,415.76x = 137,888,647.20
  5. Step 5: Solve for x
    x = 137,888,647.20/13,415.76
  6. Step 6: Final answer
    x = 10,278.11

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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.