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Finding the Fourth Proportional to 21,966, 32,953.14 and 8,819.40

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Solution

The fourth proportional to 21,966, 32,953.14 and 8,819.40 is: 13,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,966 : 32,953.14 = 8,819.40 : x
  2. Step 2: Convert to fraction form
    21,966/32,953.14 = 8,819.40/x
  3. Step 3: Cross multiply
    21,966x = 32,953.14 × 8,819.40
  4. Step 4: Simplify right side
    21,966x = 290,626,922.92
  5. Step 5: Solve for x
    x = 290,626,922.92/21,966
  6. Step 6: Final answer
    x = 13,230.76

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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.