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Finding the Fourth Proportional to 6,291.78, 8,674.65 and 3,933.06

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Solution

The fourth proportional to 6,291.78, 8,674.65 and 3,933.06 is: 5,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.78 : 8,674.65 = 3,933.06 : x
  2. Step 2: Convert to fraction form
    6,291.78/8,674.65 = 3,933.06/x
  3. Step 3: Cross multiply
    6,291.78x = 8,674.65 × 3,933.06
  4. Step 4: Simplify right side
    6,291.78x = 34,117,918.93
  5. Step 5: Solve for x
    x = 34,117,918.93/6,291.78
  6. Step 6: Final answer
    x = 5,422.62

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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.