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Finding the Fourth Proportional to 21,880.82, 32,824.45 and 7,084.82

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Solution

The fourth proportional to 21,880.82, 32,824.45 and 7,084.82 is: 10,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,880.82 : 32,824.45 = 7,084.82 : x
  2. Step 2: Convert to fraction form
    21,880.82/32,824.45 = 7,084.82/x
  3. Step 3: Cross multiply
    21,880.82x = 32,824.45 × 7,084.82
  4. Step 4: Simplify right side
    21,880.82x = 232,555,319.85
  5. Step 5: Solve for x
    x = 232,555,319.85/21,880.82
  6. Step 6: Final answer
    x = 10,628.27

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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.