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Finding the Fourth Proportional to 21,751.74, 32,639.92 and 9,270.44

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Solution

The fourth proportional to 21,751.74, 32,639.92 and 9,270.44 is: 13,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751.74 : 32,639.92 = 9,270.44 : x
  2. Step 2: Convert to fraction form
    21,751.74/32,639.92 = 9,270.44/x
  3. Step 3: Cross multiply
    21,751.74x = 32,639.92 × 9,270.44
  4. Step 4: Simplify right side
    21,751.74x = 302,586,419.96
  5. Step 5: Solve for x
    x = 302,586,419.96/21,751.74
  6. Step 6: Final answer
    x = 13,910.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.