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Finding the Fourth Proportional to 6,897, 9,517.86 and 3,953

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Solution

The fourth proportional to 6,897, 9,517.86 and 3,953 is: 5,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897 : 9,517.86 = 3,953 : x
  2. Step 2: Convert to fraction form
    6,897/9,517.86 = 3,953/x
  3. Step 3: Cross multiply
    6,897x = 9,517.86 × 3,953
  4. Step 4: Simplify right side
    6,897x = 37,624,100.58
  5. Step 5: Solve for x
    x = 37,624,100.58/6,897
  6. Step 6: Final answer
    x = 5,455.14

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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.