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Finding the Fourth Proportional to 6,665.74, 9,995.19 and 3,897.82

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Solution

The fourth proportional to 6,665.74, 9,995.19 and 3,897.82 is: 5,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.74 : 9,995.19 = 3,897.82 : x
  2. Step 2: Convert to fraction form
    6,665.74/9,995.19 = 3,897.82/x
  3. Step 3: Cross multiply
    6,665.74x = 9,995.19 × 3,897.82
  4. Step 4: Simplify right side
    6,665.74x = 38,959,393.14
  5. Step 5: Solve for x
    x = 38,959,393.14/6,665.74
  6. Step 6: Final answer
    x = 5,844.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.