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Finding the Fourth Proportional to 7,874.33, 11,814.37 and 3,659.53

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Solution

The fourth proportional to 7,874.33, 11,814.37 and 3,659.53 is: 5,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.33 : 11,814.37 = 3,659.53 : x
  2. Step 2: Convert to fraction form
    7,874.33/11,814.37 = 3,659.53/x
  3. Step 3: Cross multiply
    7,874.33x = 11,814.37 × 3,659.53
  4. Step 4: Simplify right side
    7,874.33x = 43,235,041.45
  5. Step 5: Solve for x
    x = 43,235,041.45/7,874.33
  6. Step 6: Final answer
    x = 5,490.63

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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.