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Finding the Fourth Proportional to 6,640.50, 9,954.06 and 4,177.08

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Solution

The fourth proportional to 6,640.50, 9,954.06 and 4,177.08 is: 6,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.50 : 9,954.06 = 4,177.08 : x
  2. Step 2: Convert to fraction form
    6,640.50/9,954.06 = 4,177.08/x
  3. Step 3: Cross multiply
    6,640.50x = 9,954.06 × 4,177.08
  4. Step 4: Simplify right side
    6,640.50x = 41,578,904.94
  5. Step 5: Solve for x
    x = 41,578,904.94/6,640.50
  6. Step 6: Final answer
    x = 6,261.41

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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.