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Finding the Fourth Proportional to 5,608.74, 7,738.47 and 3,369.90

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Solution

The fourth proportional to 5,608.74, 7,738.47 and 3,369.90 is: 4,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.74 : 7,738.47 = 3,369.90 : x
  2. Step 2: Convert to fraction form
    5,608.74/7,738.47 = 3,369.90/x
  3. Step 3: Cross multiply
    5,608.74x = 7,738.47 × 3,369.90
  4. Step 4: Simplify right side
    5,608.74x = 26,077,870.05
  5. Step 5: Solve for x
    x = 26,077,870.05/5,608.74
  6. Step 6: Final answer
    x = 4,649.51

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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.