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Finding the Fourth Proportional to 21,662.82, 32,486 and 8,508

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Solution

The fourth proportional to 21,662.82, 32,486 and 8,508 is: 12,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.82 : 32,486 = 8,508 : x
  2. Step 2: Convert to fraction form
    21,662.82/32,486 = 8,508/x
  3. Step 3: Cross multiply
    21,662.82x = 32,486 × 8,508
  4. Step 4: Simplify right side
    21,662.82x = 276,390,888
  5. Step 5: Solve for x
    x = 276,390,888/21,662.82
  6. Step 6: Final answer
    x = 12,758.77

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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.