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Finding the Fourth Proportional to 21,784.92, 32,680.44 and 8,638.62

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Solution

The fourth proportional to 21,784.92, 32,680.44 and 8,638.62 is: 12,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.92 : 32,680.44 = 8,638.62 : x
  2. Step 2: Convert to fraction form
    21,784.92/32,680.44 = 8,638.62/x
  3. Step 3: Cross multiply
    21,784.92x = 32,680.44 × 8,638.62
  4. Step 4: Simplify right side
    21,784.92x = 282,313,902.59
  5. Step 5: Solve for x
    x = 282,313,902.59/21,784.92
  6. Step 6: Final answer
    x = 12,959.14

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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.