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Finding the Fourth Proportional to 1,881.31, 2,821.19 and 711.11

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Solution

The fourth proportional to 1,881.31, 2,821.19 and 711.11 is: 1,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.31 : 2,821.19 = 711.11 : x
  2. Step 2: Convert to fraction form
    1,881.31/2,821.19 = 711.11/x
  3. Step 3: Cross multiply
    1,881.31x = 2,821.19 × 711.11
  4. Step 4: Simplify right side
    1,881.31x = 2,006,172.87
  5. Step 5: Solve for x
    x = 2,006,172.87/1,881.31
  6. Step 6: Final answer
    x = 1,066.37

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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.