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Finding the Fourth Proportional to 21,954.50, 32,950.38 and 8,815.76

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Solution

The fourth proportional to 21,954.50, 32,950.38 and 8,815.76 is: 13,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954.50 : 32,950.38 = 8,815.76 : x
  2. Step 2: Convert to fraction form
    21,954.50/32,950.38 = 8,815.76/x
  3. Step 3: Cross multiply
    21,954.50x = 32,950.38 × 8,815.76
  4. Step 4: Simplify right side
    21,954.50x = 290,482,641.99
  5. Step 5: Solve for x
    x = 290,482,641.99/21,954.50
  6. Step 6: Final answer
    x = 13,231.12

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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.