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Finding the Fourth Proportional to 21,651.50, 32,478.20 and 6,861.50

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Solution

The fourth proportional to 21,651.50, 32,478.20 and 6,861.50 is: 10,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,651.50 : 32,478.20 = 6,861.50 : x
  2. Step 2: Convert to fraction form
    21,651.50/32,478.20 = 6,861.50/x
  3. Step 3: Cross multiply
    21,651.50x = 32,478.20 × 6,861.50
  4. Step 4: Simplify right side
    21,651.50x = 222,849,169.30
  5. Step 5: Solve for x
    x = 222,849,169.30/21,651.50
  6. Step 6: Final answer
    x = 10,292.55

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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.