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Finding the Fourth Proportional to 2,534.78, 3,800.54 and 1,073

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Solution

The fourth proportional to 2,534.78, 3,800.54 and 1,073 is: 1,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.78 : 3,800.54 = 1,073 : x
  2. Step 2: Convert to fraction form
    2,534.78/3,800.54 = 1,073/x
  3. Step 3: Cross multiply
    2,534.78x = 3,800.54 × 1,073
  4. Step 4: Simplify right side
    2,534.78x = 4,077,979.42
  5. Step 5: Solve for x
    x = 4,077,979.42/2,534.78
  6. Step 6: Final answer
    x = 1,608.81

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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.