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Finding the Fourth Proportional to 21,240, 31,863.65 and 6,450.41

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Solution

The fourth proportional to 21,240, 31,863.65 and 6,450.41 is: 9,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,240 : 31,863.65 = 6,450.41 : x
  2. Step 2: Convert to fraction form
    21,240/31,863.65 = 6,450.41/x
  3. Step 3: Cross multiply
    21,240x = 31,863.65 × 6,450.41
  4. Step 4: Simplify right side
    21,240x = 205,533,654.00
  5. Step 5: Solve for x
    x = 205,533,654.00/21,240
  6. Step 6: Final answer
    x = 9,676.73

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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.