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Finding the Fourth Proportional to 3,986.71, 5,503.14 and 3,424.93

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Solution

The fourth proportional to 3,986.71, 5,503.14 and 3,424.93 is: 4,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.71 : 5,503.14 = 3,424.93 : x
  2. Step 2: Convert to fraction form
    3,986.71/5,503.14 = 3,424.93/x
  3. Step 3: Cross multiply
    3,986.71x = 5,503.14 × 3,424.93
  4. Step 4: Simplify right side
    3,986.71x = 18,847,869.28
  5. Step 5: Solve for x
    x = 18,847,869.28/3,986.71
  6. Step 6: Final answer
    x = 4,727.68

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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.