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Finding the Fourth Proportional to 6,638.74, 9,959.02 and 2,255.02

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Solution

The fourth proportional to 6,638.74, 9,959.02 and 2,255.02 is: 3,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.74 : 9,959.02 = 2,255.02 : x
  2. Step 2: Convert to fraction form
    6,638.74/9,959.02 = 2,255.02/x
  3. Step 3: Cross multiply
    6,638.74x = 9,959.02 × 2,255.02
  4. Step 4: Simplify right side
    6,638.74x = 22,457,789.28
  5. Step 5: Solve for x
    x = 22,457,789.28/6,638.74
  6. Step 6: Final answer
    x = 3,382.84

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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.