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Finding the Fourth Proportional to 21,812.80, 32,735.46 and 8,487.91

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Solution

The fourth proportional to 21,812.80, 32,735.46 and 8,487.91 is: 12,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.80 : 32,735.46 = 8,487.91 : x
  2. Step 2: Convert to fraction form
    21,812.80/32,735.46 = 8,487.91/x
  3. Step 3: Cross multiply
    21,812.80x = 32,735.46 × 8,487.91
  4. Step 4: Simplify right side
    21,812.80x = 277,855,638.29
  5. Step 5: Solve for x
    x = 277,855,638.29/21,812.80
  6. Step 6: Final answer
    x = 12,738.19

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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.