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Finding the Fourth Proportional to 3,453.46, 4,762.46 and 2,321.70

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Solution

The fourth proportional to 3,453.46, 4,762.46 and 2,321.70 is: 3,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.46 : 4,762.46 = 2,321.70 : x
  2. Step 2: Convert to fraction form
    3,453.46/4,762.46 = 2,321.70/x
  3. Step 3: Cross multiply
    3,453.46x = 4,762.46 × 2,321.70
  4. Step 4: Simplify right side
    3,453.46x = 11,057,003.38
  5. Step 5: Solve for x
    x = 11,057,003.38/3,453.46
  6. Step 6: Final answer
    x = 3,201.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.