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Finding the Fourth Proportional to 16,221.94, 22,386.31 and 8,769.94

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Solution

The fourth proportional to 16,221.94, 22,386.31 and 8,769.94 is: 12,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.94 : 22,386.31 = 8,769.94 : x
  2. Step 2: Convert to fraction form
    16,221.94/22,386.31 = 8,769.94/x
  3. Step 3: Cross multiply
    16,221.94x = 22,386.31 × 8,769.94
  4. Step 4: Simplify right side
    16,221.94x = 196,326,517.63
  5. Step 5: Solve for x
    x = 196,326,517.63/16,221.94
  6. Step 6: Final answer
    x = 12,102.53

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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.