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Finding the Fourth Proportional to 21,775.34, 32,664.50 and 8,627.70

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Solution

The fourth proportional to 21,775.34, 32,664.50 and 8,627.70 is: 12,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.34 : 32,664.50 = 8,627.70 : x
  2. Step 2: Convert to fraction form
    21,775.34/32,664.50 = 8,627.70/x
  3. Step 3: Cross multiply
    21,775.34x = 32,664.50 × 8,627.70
  4. Step 4: Simplify right side
    21,775.34x = 281,819,506.65
  5. Step 5: Solve for x
    x = 281,819,506.65/21,775.34
  6. Step 6: Final answer
    x = 12,942.14

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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.