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Finding the Fourth Proportional to 5,212.77, 7,799.55 and 3,655.82

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Solution

The fourth proportional to 5,212.77, 7,799.55 and 3,655.82 is: 5,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.77 : 7,799.55 = 3,655.82 : x
  2. Step 2: Convert to fraction form
    5,212.77/7,799.55 = 3,655.82/x
  3. Step 3: Cross multiply
    5,212.77x = 7,799.55 × 3,655.82
  4. Step 4: Simplify right side
    5,212.77x = 28,513,750.88
  5. Step 5: Solve for x
    x = 28,513,750.88/5,212.77
  6. Step 6: Final answer
    x = 5,469.98

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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.