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Finding the Fourth Proportional to 16,126.25, 22,257.54 and 9,412.49

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Solution

The fourth proportional to 16,126.25, 22,257.54 and 9,412.49 is: 12,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.25 : 22,257.54 = 9,412.49 : x
  2. Step 2: Convert to fraction form
    16,126.25/22,257.54 = 9,412.49/x
  3. Step 3: Cross multiply
    16,126.25x = 22,257.54 × 9,412.49
  4. Step 4: Simplify right side
    16,126.25x = 209,498,928.32
  5. Step 5: Solve for x
    x = 209,498,928.32/16,126.25
  6. Step 6: Final answer
    x = 12,991.18

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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.