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Finding the Fourth Proportional to 5,777.72, 7,977.99 and 3,656.69

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Solution

The fourth proportional to 5,777.72, 7,977.99 and 3,656.69 is: 5,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.72 : 7,977.99 = 3,656.69 : x
  2. Step 2: Convert to fraction form
    5,777.72/7,977.99 = 3,656.69/x
  3. Step 3: Cross multiply
    5,777.72x = 7,977.99 × 3,656.69
  4. Step 4: Simplify right side
    5,777.72x = 29,173,036.25
  5. Step 5: Solve for x
    x = 29,173,036.25/5,777.72
  6. Step 6: Final answer
    x = 5,049.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.