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Finding the Fourth Proportional to 9,175, 12,664.38 and 5,863

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Solution

The fourth proportional to 9,175, 12,664.38 and 5,863 is: 8,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175 : 12,664.38 = 5,863 : x
  2. Step 2: Convert to fraction form
    9,175/12,664.38 = 5,863/x
  3. Step 3: Cross multiply
    9,175x = 12,664.38 × 5,863
  4. Step 4: Simplify right side
    9,175x = 74,251,259.94
  5. Step 5: Solve for x
    x = 74,251,259.94/9,175
  6. Step 6: Final answer
    x = 8,092.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.