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Finding the Fourth Proportional to 21,328.60, 31,965.90 and 8,163.40

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Solution

The fourth proportional to 21,328.60, 31,965.90 and 8,163.40 is: 12,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,328.60 : 31,965.90 = 8,163.40 : x
  2. Step 2: Convert to fraction form
    21,328.60/31,965.90 = 8,163.40/x
  3. Step 3: Cross multiply
    21,328.60x = 31,965.90 × 8,163.40
  4. Step 4: Simplify right side
    21,328.60x = 260,950,428.06
  5. Step 5: Solve for x
    x = 260,950,428.06/21,328.60
  6. Step 6: Final answer
    x = 12,234.77

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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.