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Finding the Fourth Proportional to 6,491.61, 9,738.86 and 1,874.25

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Solution

The fourth proportional to 6,491.61, 9,738.86 and 1,874.25 is: 2,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.61 : 9,738.86 = 1,874.25 : x
  2. Step 2: Convert to fraction form
    6,491.61/9,738.86 = 1,874.25/x
  3. Step 3: Cross multiply
    6,491.61x = 9,738.86 × 1,874.25
  4. Step 4: Simplify right side
    6,491.61x = 18,253,048.98
  5. Step 5: Solve for x
    x = 18,253,048.98/6,491.61
  6. Step 6: Final answer
    x = 2,811.79

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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.