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Finding the Fourth Proportional to 2,638.42, 3,957.66 and 907

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Solution

The fourth proportional to 2,638.42, 3,957.66 and 907 is: 1,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.42 : 3,957.66 = 907 : x
  2. Step 2: Convert to fraction form
    2,638.42/3,957.66 = 907/x
  3. Step 3: Cross multiply
    2,638.42x = 3,957.66 × 907
  4. Step 4: Simplify right side
    2,638.42x = 3,589,597.62
  5. Step 5: Solve for x
    x = 3,589,597.62/2,638.42
  6. Step 6: Final answer
    x = 1,360.51

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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.