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Finding the Fourth Proportional to 3,909.67, 5,864.49 and 3,681.41

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Solution

The fourth proportional to 3,909.67, 5,864.49 and 3,681.41 is: 5,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.67 : 5,864.49 = 3,681.41 : x
  2. Step 2: Convert to fraction form
    3,909.67/5,864.49 = 3,681.41/x
  3. Step 3: Cross multiply
    3,909.67x = 5,864.49 × 3,681.41
  4. Step 4: Simplify right side
    3,909.67x = 21,589,562.81
  5. Step 5: Solve for x
    x = 21,589,562.81/3,909.67
  6. Step 6: Final answer
    x = 5,522.10

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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.