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Finding the Fourth Proportional to 3,937.84, 5,907.52 and 1,629.28

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Solution

The fourth proportional to 3,937.84, 5,907.52 and 1,629.28 is: 2,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.84 : 5,907.52 = 1,629.28 : x
  2. Step 2: Convert to fraction form
    3,937.84/5,907.52 = 1,629.28/x
  3. Step 3: Cross multiply
    3,937.84x = 5,907.52 × 1,629.28
  4. Step 4: Simplify right side
    3,937.84x = 9,625,004.19
  5. Step 5: Solve for x
    x = 9,625,004.19/3,937.84
  6. Step 6: Final answer
    x = 2,444.23

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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.