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Finding the Fourth Proportional to 21,318.39, 31,978.40 and 5,736.42

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Solution

The fourth proportional to 21,318.39, 31,978.40 and 5,736.42 is: 8,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.39 : 31,978.40 = 5,736.42 : x
  2. Step 2: Convert to fraction form
    21,318.39/31,978.40 = 5,736.42/x
  3. Step 3: Cross multiply
    21,318.39x = 31,978.40 × 5,736.42
  4. Step 4: Simplify right side
    21,318.39x = 183,441,504.65
  5. Step 5: Solve for x
    x = 183,441,504.65/21,318.39
  6. Step 6: Final answer
    x = 8,604.85

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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.