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Finding the Fourth Proportional to 2,638.77, 3,957.94 and 907.39

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Solution

The fourth proportional to 2,638.77, 3,957.94 and 907.39 is: 1,361.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.77 : 3,957.94 = 907.39 : x
  2. Step 2: Convert to fraction form
    2,638.77/3,957.94 = 907.39/x
  3. Step 3: Cross multiply
    2,638.77x = 3,957.94 × 907.39
  4. Step 4: Simplify right side
    2,638.77x = 3,591,395.18
  5. Step 5: Solve for x
    x = 3,591,395.18/2,638.77
  6. Step 6: Final answer
    x = 1,361.01

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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.