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Finding the Fourth Proportional to 6,175, 8,523.66 and 3,691

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Solution

The fourth proportional to 6,175, 8,523.66 and 3,691 is: 5,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175 : 8,523.66 = 3,691 : x
  2. Step 2: Convert to fraction form
    6,175/8,523.66 = 3,691/x
  3. Step 3: Cross multiply
    6,175x = 8,523.66 × 3,691
  4. Step 4: Simplify right side
    6,175x = 31,460,829.06
  5. Step 5: Solve for x
    x = 31,460,829.06/6,175
  6. Step 6: Final answer
    x = 5,094.87

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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.