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Finding the Fourth Proportional to 16,240.32, 22,408.92 and 9,164.70

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Solution

The fourth proportional to 16,240.32, 22,408.92 and 9,164.70 is: 12,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,240.32 : 22,408.92 = 9,164.70 : x
  2. Step 2: Convert to fraction form
    16,240.32/22,408.92 = 9,164.70/x
  3. Step 3: Cross multiply
    16,240.32x = 22,408.92 × 9,164.70
  4. Step 4: Simplify right side
    16,240.32x = 205,371,029.12
  5. Step 5: Solve for x
    x = 205,371,029.12/16,240.32
  6. Step 6: Final answer
    x = 12,645.75

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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.