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Finding the Fourth Proportional to 21,771, 32,651.88 and 6,975.96

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Solution

The fourth proportional to 21,771, 32,651.88 and 6,975.96 is: 10,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771 : 32,651.88 = 6,975.96 : x
  2. Step 2: Convert to fraction form
    21,771/32,651.88 = 6,975.96/x
  3. Step 3: Cross multiply
    21,771x = 32,651.88 × 6,975.96
  4. Step 4: Simplify right side
    21,771x = 227,778,208.80
  5. Step 5: Solve for x
    x = 227,778,208.80/21,771
  6. Step 6: Final answer
    x = 10,462.46

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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.