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Finding the Fourth Proportional to 5,200.52, 7,804.50 and 2,078.72

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Solution

The fourth proportional to 5,200.52, 7,804.50 and 2,078.72 is: 3,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.52 : 7,804.50 = 2,078.72 : x
  2. Step 2: Convert to fraction form
    5,200.52/7,804.50 = 2,078.72/x
  3. Step 3: Cross multiply
    5,200.52x = 7,804.50 × 2,078.72
  4. Step 4: Simplify right side
    5,200.52x = 16,223,370.24
  5. Step 5: Solve for x
    x = 16,223,370.24/5,200.52
  6. Step 6: Final answer
    x = 3,119.57

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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.