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Finding the Fourth Proportional to 16,478.22, 22,744.04 and 9,408.75

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Solution

The fourth proportional to 16,478.22, 22,744.04 and 9,408.75 is: 12,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.22 : 22,744.04 = 9,408.75 : x
  2. Step 2: Convert to fraction form
    16,478.22/22,744.04 = 9,408.75/x
  3. Step 3: Cross multiply
    16,478.22x = 22,744.04 × 9,408.75
  4. Step 4: Simplify right side
    16,478.22x = 213,992,986.35
  5. Step 5: Solve for x
    x = 213,992,986.35/16,478.22
  6. Step 6: Final answer
    x = 12,986.41

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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.