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Finding the Fourth Proportional to 43,517.50, 65,267.10 and 21,308.50

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Solution

The fourth proportional to 43,517.50, 65,267.10 and 21,308.50 is: 31,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,517.50 : 65,267.10 = 21,308.50 : x
  2. Step 2: Convert to fraction form
    43,517.50/65,267.10 = 21,308.50/x
  3. Step 3: Cross multiply
    43,517.50x = 65,267.10 × 21,308.50
  4. Step 4: Simplify right side
    43,517.50x = 1,390,744,000.35
  5. Step 5: Solve for x
    x = 1,390,744,000.35/43,517.50
  6. Step 6: Final answer
    x = 31,958.27

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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.