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Finding the Fourth Proportional to 16,193.49, 22,348.61 and 9,478.71

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Solution

The fourth proportional to 16,193.49, 22,348.61 and 9,478.71 is: 13,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.49 : 22,348.61 = 9,478.71 : x
  2. Step 2: Convert to fraction form
    16,193.49/22,348.61 = 9,478.71/x
  3. Step 3: Cross multiply
    16,193.49x = 22,348.61 × 9,478.71
  4. Step 4: Simplify right side
    16,193.49x = 211,835,945.70
  5. Step 5: Solve for x
    x = 211,835,945.70/16,193.49
  6. Step 6: Final answer
    x = 13,081.55

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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.