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Finding the Fourth Proportional to 6,881.76, 9,497.28 and 3,897.87

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Solution

The fourth proportional to 6,881.76, 9,497.28 and 3,897.87 is: 5,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.76 : 9,497.28 = 3,897.87 : x
  2. Step 2: Convert to fraction form
    6,881.76/9,497.28 = 3,897.87/x
  3. Step 3: Cross multiply
    6,881.76x = 9,497.28 × 3,897.87
  4. Step 4: Simplify right side
    6,881.76x = 37,019,162.33
  5. Step 5: Solve for x
    x = 37,019,162.33/6,881.76
  6. Step 6: Final answer
    x = 5,379.32

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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.