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Finding the Fourth Proportional to 3,491.86, 5,237.94 and 993.22

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Solution

The fourth proportional to 3,491.86, 5,237.94 and 993.22 is: 1,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.86 : 5,237.94 = 993.22 : x
  2. Step 2: Convert to fraction form
    3,491.86/5,237.94 = 993.22/x
  3. Step 3: Cross multiply
    3,491.86x = 5,237.94 × 993.22
  4. Step 4: Simplify right side
    3,491.86x = 5,202,426.77
  5. Step 5: Solve for x
    x = 5,202,426.77/3,491.86
  6. Step 6: Final answer
    x = 1,489.87

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Double scale
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Similar ratio
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1.5x scale

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.