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Finding the Fourth Proportional to 1,516.64, 2,274.78 and 892.31

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Solution

The fourth proportional to 1,516.64, 2,274.78 and 892.31 is: 1,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.64 : 2,274.78 = 892.31 : x
  2. Step 2: Convert to fraction form
    1,516.64/2,274.78 = 892.31/x
  3. Step 3: Cross multiply
    1,516.64x = 2,274.78 × 892.31
  4. Step 4: Simplify right side
    1,516.64x = 2,029,808.94
  5. Step 5: Solve for x
    x = 2,029,808.94/1,516.64
  6. Step 6: Final answer
    x = 1,338.36

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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.