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Finding the Fourth Proportional to 3,871.81, 5,808.03 and 2,322.39

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Solution

The fourth proportional to 3,871.81, 5,808.03 and 2,322.39 is: 3,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.81 : 5,808.03 = 2,322.39 : x
  2. Step 2: Convert to fraction form
    3,871.81/5,808.03 = 2,322.39/x
  3. Step 3: Cross multiply
    3,871.81x = 5,808.03 × 2,322.39
  4. Step 4: Simplify right side
    3,871.81x = 13,488,510.79
  5. Step 5: Solve for x
    x = 13,488,510.79/3,871.81
  6. Step 6: Final answer
    x = 3,483.77

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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.