Home / 3,061.20-4,591.78-1,600

Finding the Fourth Proportional to 3,061.20, 4,591.78 and 1,600

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Solution

The fourth proportional to 3,061.20, 4,591.78 and 1,600 is: 2,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.20 : 4,591.78 = 1,600 : x
  2. Step 2: Convert to fraction form
    3,061.20/4,591.78 = 1,600/x
  3. Step 3: Cross multiply
    3,061.20x = 4,591.78 × 1,600
  4. Step 4: Simplify right side
    3,061.20x = 7,346,848
  5. Step 5: Solve for x
    x = 7,346,848/3,061.20
  6. Step 6: Final answer
    x = 2,399.99

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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.