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Finding the Fourth Proportional to 2,870, 4,305.14 and 922.22

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Solution

The fourth proportional to 2,870, 4,305.14 and 922.22 is: 1,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870 : 4,305.14 = 922.22 : x
  2. Step 2: Convert to fraction form
    2,870/4,305.14 = 922.22/x
  3. Step 3: Cross multiply
    2,870x = 4,305.14 × 922.22
  4. Step 4: Simplify right side
    2,870x = 3,970,286.21
  5. Step 5: Solve for x
    x = 3,970,286.21/2,870
  6. Step 6: Final answer
    x = 1,383.37

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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.