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Finding the Fourth Proportional to 5,150.90, 7,738.68 and 3,305.64

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Solution

The fourth proportional to 5,150.90, 7,738.68 and 3,305.64 is: 4,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.90 : 7,738.68 = 3,305.64 : x
  2. Step 2: Convert to fraction form
    5,150.90/7,738.68 = 3,305.64/x
  3. Step 3: Cross multiply
    5,150.90x = 7,738.68 × 3,305.64
  4. Step 4: Simplify right side
    5,150.90x = 25,581,290.16
  5. Step 5: Solve for x
    x = 25,581,290.16/5,150.90
  6. Step 6: Final answer
    x = 4,966.37

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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.