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Finding the Fourth Proportional to 16,193.90, 22,347.65 and 9,478.22

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Solution

The fourth proportional to 16,193.90, 22,347.65 and 9,478.22 is: 13,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.90 : 22,347.65 = 9,478.22 : x
  2. Step 2: Convert to fraction form
    16,193.90/22,347.65 = 9,478.22/x
  3. Step 3: Cross multiply
    16,193.90x = 22,347.65 × 9,478.22
  4. Step 4: Simplify right side
    16,193.90x = 211,815,801.83
  5. Step 5: Solve for x
    x = 211,815,801.83/16,193.90
  6. Step 6: Final answer
    x = 13,079.97

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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.