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Finding the Fourth Proportional to 20,871.14, 31,308.15 and 7,723.22

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Solution

The fourth proportional to 20,871.14, 31,308.15 and 7,723.22 is: 11,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.14 : 31,308.15 = 7,723.22 : x
  2. Step 2: Convert to fraction form
    20,871.14/31,308.15 = 7,723.22/x
  3. Step 3: Cross multiply
    20,871.14x = 31,308.15 × 7,723.22
  4. Step 4: Simplify right side
    20,871.14x = 241,799,730.24
  5. Step 5: Solve for x
    x = 241,799,730.24/20,871.14
  6. Step 6: Final answer
    x = 11,585.36

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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.