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Finding the Fourth Proportional to 8,317, 12,475.50 and 2,161

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Solution

The fourth proportional to 8,317, 12,475.50 and 2,161 is: 3,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317 : 12,475.50 = 2,161 : x
  2. Step 2: Convert to fraction form
    8,317/12,475.50 = 2,161/x
  3. Step 3: Cross multiply
    8,317x = 12,475.50 × 2,161
  4. Step 4: Simplify right side
    8,317x = 26,959,555.50
  5. Step 5: Solve for x
    x = 26,959,555.50/8,317
  6. Step 6: Final answer
    x = 3,241.50

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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.