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Finding the Fourth Proportional to 4,499.60, 6,749.89 and 1,728.62

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Solution

The fourth proportional to 4,499.60, 6,749.89 and 1,728.62 is: 2,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499.60 : 6,749.89 = 1,728.62 : x
  2. Step 2: Convert to fraction form
    4,499.60/6,749.89 = 1,728.62/x
  3. Step 3: Cross multiply
    4,499.60x = 6,749.89 × 1,728.62
  4. Step 4: Simplify right side
    4,499.60x = 11,667,994.85
  5. Step 5: Solve for x
    x = 11,667,994.85/4,499.60
  6. Step 6: Final answer
    x = 2,593.12

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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.