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Finding the Fourth Proportional to 5,777.38, 7,972.22 and 3,259.88

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Solution

The fourth proportional to 5,777.38, 7,972.22 and 3,259.88 is: 4,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.38 : 7,972.22 = 3,259.88 : x
  2. Step 2: Convert to fraction form
    5,777.38/7,972.22 = 3,259.88/x
  3. Step 3: Cross multiply
    5,777.38x = 7,972.22 × 3,259.88
  4. Step 4: Simplify right side
    5,777.38x = 25,988,480.53
  5. Step 5: Solve for x
    x = 25,988,480.53/5,777.38
  6. Step 6: Final answer
    x = 4,498.32

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1.5x scale

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.