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Finding the Fourth Proportional to 3,920.79, 5,409.64 and 2,326.11

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Solution

The fourth proportional to 3,920.79, 5,409.64 and 2,326.11 is: 3,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.79 : 5,409.64 = 2,326.11 : x
  2. Step 2: Convert to fraction form
    3,920.79/5,409.64 = 2,326.11/x
  3. Step 3: Cross multiply
    3,920.79x = 5,409.64 × 2,326.11
  4. Step 4: Simplify right side
    3,920.79x = 12,583,402.45
  5. Step 5: Solve for x
    x = 12,583,402.45/3,920.79
  6. Step 6: Final answer
    x = 3,209.41

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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.