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Finding the Fourth Proportional to 2,892.45, 4,338.93 and 812.47

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Solution

The fourth proportional to 2,892.45, 4,338.93 and 812.47 is: 1,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.45 : 4,338.93 = 812.47 : x
  2. Step 2: Convert to fraction form
    2,892.45/4,338.93 = 812.47/x
  3. Step 3: Cross multiply
    2,892.45x = 4,338.93 × 812.47
  4. Step 4: Simplify right side
    2,892.45x = 3,525,250.46
  5. Step 5: Solve for x
    x = 3,525,250.46/2,892.45
  6. Step 6: Final answer
    x = 1,218.78

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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.