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Finding the Fourth Proportional to 2,917, 4,376.22 and 865

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Solution

The fourth proportional to 2,917, 4,376.22 and 865 is: 1,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917 : 4,376.22 = 865 : x
  2. Step 2: Convert to fraction form
    2,917/4,376.22 = 865/x
  3. Step 3: Cross multiply
    2,917x = 4,376.22 × 865
  4. Step 4: Simplify right side
    2,917x = 3,785,430.30
  5. Step 5: Solve for x
    x = 3,785,430.30/2,917
  6. Step 6: Final answer
    x = 1,297.71

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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.