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Finding the Fourth Proportional to 2,343, 3,233.38 and 1,516.44

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Solution

The fourth proportional to 2,343, 3,233.38 and 1,516.44 is: 2,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343 : 3,233.38 = 1,516.44 : x
  2. Step 2: Convert to fraction form
    2,343/3,233.38 = 1,516.44/x
  3. Step 3: Cross multiply
    2,343x = 3,233.38 × 1,516.44
  4. Step 4: Simplify right side
    2,343x = 4,903,226.77
  5. Step 5: Solve for x
    x = 4,903,226.77/2,343
  6. Step 6: Final answer
    x = 2,092.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.