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Finding the Fourth Proportional to 21,861.63, 32,788.95 and 7,819.04

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Solution

The fourth proportional to 21,861.63, 32,788.95 and 7,819.04 is: 11,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,861.63 : 32,788.95 = 7,819.04 : x
  2. Step 2: Convert to fraction form
    21,861.63/32,788.95 = 7,819.04/x
  3. Step 3: Cross multiply
    21,861.63x = 32,788.95 × 7,819.04
  4. Step 4: Simplify right side
    21,861.63x = 256,377,947.66
  5. Step 5: Solve for x
    x = 256,377,947.66/21,861.63
  6. Step 6: Final answer
    x = 11,727.30

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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.