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Finding the Fourth Proportional to 21,663.82, 32,487.50 and 8,509

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Solution

The fourth proportional to 21,663.82, 32,487.50 and 8,509 is: 12,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,663.82 : 32,487.50 = 8,509 : x
  2. Step 2: Convert to fraction form
    21,663.82/32,487.50 = 8,509/x
  3. Step 3: Cross multiply
    21,663.82x = 32,487.50 × 8,509
  4. Step 4: Simplify right side
    21,663.82x = 276,436,137.50
  5. Step 5: Solve for x
    x = 276,436,137.50/21,663.82
  6. Step 6: Final answer
    x = 12,760.27

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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.