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Finding the Fourth Proportional to 8,117, 12,175.50 and 1,961

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Solution

The fourth proportional to 8,117, 12,175.50 and 1,961 is: 2,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117 : 12,175.50 = 1,961 : x
  2. Step 2: Convert to fraction form
    8,117/12,175.50 = 1,961/x
  3. Step 3: Cross multiply
    8,117x = 12,175.50 × 1,961
  4. Step 4: Simplify right side
    8,117x = 23,876,155.50
  5. Step 5: Solve for x
    x = 23,876,155.50/8,117
  6. Step 6: Final answer
    x = 2,941.50

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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.