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Finding the Fourth Proportional to 8,632.23, 12,940.16 and 5,503.46

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Solution

The fourth proportional to 8,632.23, 12,940.16 and 5,503.46 is: 8,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.23 : 12,940.16 = 5,503.46 : x
  2. Step 2: Convert to fraction form
    8,632.23/12,940.16 = 5,503.46/x
  3. Step 3: Cross multiply
    8,632.23x = 12,940.16 × 5,503.46
  4. Step 4: Simplify right side
    8,632.23x = 71,215,560.74
  5. Step 5: Solve for x
    x = 71,215,560.74/8,632.23
  6. Step 6: Final answer
    x = 8,249.96

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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.