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Finding the Fourth Proportional to 6,638.32, 9,957.24 and 2,255.82

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Solution

The fourth proportional to 6,638.32, 9,957.24 and 2,255.82 is: 3,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.32 : 9,957.24 = 2,255.82 : x
  2. Step 2: Convert to fraction form
    6,638.32/9,957.24 = 2,255.82/x
  3. Step 3: Cross multiply
    6,638.32x = 9,957.24 × 2,255.82
  4. Step 4: Simplify right side
    6,638.32x = 22,461,741.14
  5. Step 5: Solve for x
    x = 22,461,741.14/6,638.32
  6. Step 6: Final answer
    x = 3,383.65

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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.