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Finding the Fourth Proportional to 6,897.38, 9,518.38 and 3,753.59

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Solution

The fourth proportional to 6,897.38, 9,518.38 and 3,753.59 is: 5,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.38 : 9,518.38 = 3,753.59 : x
  2. Step 2: Convert to fraction form
    6,897.38/9,518.38 = 3,753.59/x
  3. Step 3: Cross multiply
    6,897.38x = 9,518.38 × 3,753.59
  4. Step 4: Simplify right side
    6,897.38x = 35,728,039.01
  5. Step 5: Solve for x
    x = 35,728,039.01/6,897.38
  6. Step 6: Final answer
    x = 5,179.95

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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.