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Finding the Fourth Proportional to 2,892.34, 4,338.52 and 812.57

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Solution

The fourth proportional to 2,892.34, 4,338.52 and 812.57 is: 1,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.34 : 4,338.52 = 812.57 : x
  2. Step 2: Convert to fraction form
    2,892.34/4,338.52 = 812.57/x
  3. Step 3: Cross multiply
    2,892.34x = 4,338.52 × 812.57
  4. Step 4: Simplify right side
    2,892.34x = 3,525,351.20
  5. Step 5: Solve for x
    x = 3,525,351.20/2,892.34
  6. Step 6: Final answer
    x = 1,218.86

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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.