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Finding the Fourth Proportional to 21,953.84, 32,930.69 and 8,815.43

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Solution

The fourth proportional to 21,953.84, 32,930.69 and 8,815.43 is: 13,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,953.84 : 32,930.69 = 8,815.43 : x
  2. Step 2: Convert to fraction form
    21,953.84/32,930.69 = 8,815.43/x
  3. Step 3: Cross multiply
    21,953.84x = 32,930.69 × 8,815.43
  4. Step 4: Simplify right side
    21,953.84x = 290,298,230.80
  5. Step 5: Solve for x
    x = 290,298,230.80/21,953.84
  6. Step 6: Final answer
    x = 13,223.12

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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.