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Finding the Fourth Proportional to 3,937.72, 5,907.12 and 1,164.61

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Solution

The fourth proportional to 3,937.72, 5,907.12 and 1,164.61 is: 1,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.72 : 5,907.12 = 1,164.61 : x
  2. Step 2: Convert to fraction form
    3,937.72/5,907.12 = 1,164.61/x
  3. Step 3: Cross multiply
    3,937.72x = 5,907.12 × 1,164.61
  4. Step 4: Simplify right side
    3,937.72x = 6,879,491.02
  5. Step 5: Solve for x
    x = 6,879,491.02/3,937.72
  6. Step 6: Final answer
    x = 1,747.07

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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.