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Finding the Fourth Proportional to 21,321.96, 31,978.08 and 5,740.80

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Solution

The fourth proportional to 21,321.96, 31,978.08 and 5,740.80 is: 8,609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.96 : 31,978.08 = 5,740.80 : x
  2. Step 2: Convert to fraction form
    21,321.96/31,978.08 = 5,740.80/x
  3. Step 3: Cross multiply
    21,321.96x = 31,978.08 × 5,740.80
  4. Step 4: Simplify right side
    21,321.96x = 183,579,761.66
  5. Step 5: Solve for x
    x = 183,579,761.66/21,321.96
  6. Step 6: Final answer
    x = 8,609.89

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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.