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Finding the Fourth Proportional to 6,640.52, 9,163.95 and 3,808.00

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Solution

The fourth proportional to 6,640.52, 9,163.95 and 3,808.00 is: 5,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.52 : 9,163.95 = 3,808.00 : x
  2. Step 2: Convert to fraction form
    6,640.52/9,163.95 = 3,808.00/x
  3. Step 3: Cross multiply
    6,640.52x = 9,163.95 × 3,808.00
  4. Step 4: Simplify right side
    6,640.52x = 34,896,340.19
  5. Step 5: Solve for x
    x = 34,896,340.19/6,640.52
  6. Step 6: Final answer
    x = 5,255.06

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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.