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Finding the Fourth Proportional to 6,640.52, 9,163.40 and 3,807.86

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Solution

The fourth proportional to 6,640.52, 9,163.40 and 3,807.86 is: 5,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.52 : 9,163.40 = 3,807.86 : x
  2. Step 2: Convert to fraction form
    6,640.52/9,163.40 = 3,807.86/x
  3. Step 3: Cross multiply
    6,640.52x = 9,163.40 × 3,807.86
  4. Step 4: Simplify right side
    6,640.52x = 34,892,944.32
  5. Step 5: Solve for x
    x = 34,892,944.32/6,640.52
  6. Step 6: Final answer
    x = 5,254.55

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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.