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Finding the Fourth Proportional to 5,110.71, 7,669.71 and 2,191.11

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Solution

The fourth proportional to 5,110.71, 7,669.71 and 2,191.11 is: 3,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.71 : 7,669.71 = 2,191.11 : x
  2. Step 2: Convert to fraction form
    5,110.71/7,669.71 = 2,191.11/x
  3. Step 3: Cross multiply
    5,110.71x = 7,669.71 × 2,191.11
  4. Step 4: Simplify right side
    5,110.71x = 16,805,178.28
  5. Step 5: Solve for x
    x = 16,805,178.28/5,110.71
  6. Step 6: Final answer
    x = 3,288.23

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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.