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Finding the Fourth Proportional to 2,811.71, 4,214.23 and 1,167.82

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Solution

The fourth proportional to 2,811.71, 4,214.23 and 1,167.82 is: 1,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.71 : 4,214.23 = 1,167.82 : x
  2. Step 2: Convert to fraction form
    2,811.71/4,214.23 = 1,167.82/x
  3. Step 3: Cross multiply
    2,811.71x = 4,214.23 × 1,167.82
  4. Step 4: Simplify right side
    2,811.71x = 4,921,448.62
  5. Step 5: Solve for x
    x = 4,921,448.62/2,811.71
  6. Step 6: Final answer
    x = 1,750.34

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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.