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Finding the Fourth Proportional to 2,603.84, 3,906.36 and 754.98

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Solution

The fourth proportional to 2,603.84, 3,906.36 and 754.98 is: 1,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.84 : 3,906.36 = 754.98 : x
  2. Step 2: Convert to fraction form
    2,603.84/3,906.36 = 754.98/x
  3. Step 3: Cross multiply
    2,603.84x = 3,906.36 × 754.98
  4. Step 4: Simplify right side
    2,603.84x = 2,949,223.67
  5. Step 5: Solve for x
    x = 2,949,223.67/2,603.84
  6. Step 6: Final answer
    x = 1,132.64

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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.