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Finding the Fourth Proportional to 2,800.52, 4,199.50 and 1,338.07

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Solution

The fourth proportional to 2,800.52, 4,199.50 and 1,338.07 is: 2,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.52 : 4,199.50 = 1,338.07 : x
  2. Step 2: Convert to fraction form
    2,800.52/4,199.50 = 1,338.07/x
  3. Step 3: Cross multiply
    2,800.52x = 4,199.50 × 1,338.07
  4. Step 4: Simplify right side
    2,800.52x = 5,619,211.12
  5. Step 5: Solve for x
    x = 5,619,211.12/2,800.52
  6. Step 6: Final answer
    x = 2,006.49

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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.