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Finding the Fourth Proportional to 3,762.88, 5,640.36 and 1,909.84

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Solution

The fourth proportional to 3,762.88, 5,640.36 and 1,909.84 is: 2,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.88 : 5,640.36 = 1,909.84 : x
  2. Step 2: Convert to fraction form
    3,762.88/5,640.36 = 1,909.84/x
  3. Step 3: Cross multiply
    3,762.88x = 5,640.36 × 1,909.84
  4. Step 4: Simplify right side
    3,762.88x = 10,772,185.14
  5. Step 5: Solve for x
    x = 10,772,185.14/3,762.88
  6. Step 6: Final answer
    x = 2,862.75

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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.