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Finding the Fourth Proportional to 8,627, 12,940.50 and 2,471.48

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Solution

The fourth proportional to 8,627, 12,940.50 and 2,471.48 is: 3,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627 : 12,940.50 = 2,471.48 : x
  2. Step 2: Convert to fraction form
    8,627/12,940.50 = 2,471.48/x
  3. Step 3: Cross multiply
    8,627x = 12,940.50 × 2,471.48
  4. Step 4: Simplify right side
    8,627x = 31,982,186.94
  5. Step 5: Solve for x
    x = 31,982,186.94/8,627
  6. Step 6: Final answer
    x = 3,707.22

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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.