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Finding the Fourth Proportional to 5,212.80, 7,775.28 and 4,849.92

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Solution

The fourth proportional to 5,212.80, 7,775.28 and 4,849.92 is: 7,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.80 : 7,775.28 = 4,849.92 : x
  2. Step 2: Convert to fraction form
    5,212.80/7,775.28 = 4,849.92/x
  3. Step 3: Cross multiply
    5,212.80x = 7,775.28 × 4,849.92
  4. Step 4: Simplify right side
    5,212.80x = 37,709,485.98
  5. Step 5: Solve for x
    x = 37,709,485.98/5,212.80
  6. Step 6: Final answer
    x = 7,234.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.