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Finding the Fourth Proportional to 3,039.75, 4,560.23 and 960.08

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Solution

The fourth proportional to 3,039.75, 4,560.23 and 960.08 is: 1,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.75 : 4,560.23 = 960.08 : x
  2. Step 2: Convert to fraction form
    3,039.75/4,560.23 = 960.08/x
  3. Step 3: Cross multiply
    3,039.75x = 4,560.23 × 960.08
  4. Step 4: Simplify right side
    3,039.75x = 4,378,158.02
  5. Step 5: Solve for x
    x = 4,378,158.02/3,039.75
  6. Step 6: Final answer
    x = 1,440.30

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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.