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Finding the Fourth Proportional to 2,800.37, 4,201.16 and 852.52

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Solution

The fourth proportional to 2,800.37, 4,201.16 and 852.52 is: 1,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.37 : 4,201.16 = 852.52 : x
  2. Step 2: Convert to fraction form
    2,800.37/4,201.16 = 852.52/x
  3. Step 3: Cross multiply
    2,800.37x = 4,201.16 × 852.52
  4. Step 4: Simplify right side
    2,800.37x = 3,581,558.16
  5. Step 5: Solve for x
    x = 3,581,558.16/2,800.37
  6. Step 6: Final answer
    x = 1,278.96

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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.