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Finding the Fourth Proportional to 3,881.81, 5,823.43 and 3,529.68

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Solution

The fourth proportional to 3,881.81, 5,823.43 and 3,529.68 is: 5,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.81 : 5,823.43 = 3,529.68 : x
  2. Step 2: Convert to fraction form
    3,881.81/5,823.43 = 3,529.68/x
  3. Step 3: Cross multiply
    3,881.81x = 5,823.43 × 3,529.68
  4. Step 4: Simplify right side
    3,881.81x = 20,554,846.50
  5. Step 5: Solve for x
    x = 20,554,846.50/3,881.81
  6. Step 6: Final answer
    x = 5,295.17

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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.