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Finding the Fourth Proportional to 3,100, 4,650.72 and 2,232.76

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Solution

The fourth proportional to 3,100, 4,650.72 and 2,232.76 is: 3,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100 : 4,650.72 = 2,232.76 : x
  2. Step 2: Convert to fraction form
    3,100/4,650.72 = 2,232.76/x
  3. Step 3: Cross multiply
    3,100x = 4,650.72 × 2,232.76
  4. Step 4: Simplify right side
    3,100x = 10,383,941.59
  5. Step 5: Solve for x
    x = 10,383,941.59/3,100
  6. Step 6: Final answer
    x = 3,349.66

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Double scale
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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.