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Finding the Fourth Proportional to 5,649.89, 7,798.28 and 3,764.61

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Solution

The fourth proportional to 5,649.89, 7,798.28 and 3,764.61 is: 5,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.89 : 7,798.28 = 3,764.61 : x
  2. Step 2: Convert to fraction form
    5,649.89/7,798.28 = 3,764.61/x
  3. Step 3: Cross multiply
    5,649.89x = 7,798.28 × 3,764.61
  4. Step 4: Simplify right side
    5,649.89x = 29,357,464.05
  5. Step 5: Solve for x
    x = 29,357,464.05/5,649.89
  6. Step 6: Final answer
    x = 5,196.12

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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.