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Finding the Fourth Proportional to 13,416.17, 18,514.44 and 7,448.41

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Solution

The fourth proportional to 13,416.17, 18,514.44 and 7,448.41 is: 10,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.17 : 18,514.44 = 7,448.41 : x
  2. Step 2: Convert to fraction form
    13,416.17/18,514.44 = 7,448.41/x
  3. Step 3: Cross multiply
    13,416.17x = 18,514.44 × 7,448.41
  4. Step 4: Simplify right side
    13,416.17x = 137,903,093.75
  5. Step 5: Solve for x
    x = 137,903,093.75/13,416.17
  6. Step 6: Final answer
    x = 10,278.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.