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Finding the Fourth Proportional to 4,150.80, 5,728.11 and 2,287.80

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Solution

The fourth proportional to 4,150.80, 5,728.11 and 2,287.80 is: 3,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.80 : 5,728.11 = 2,287.80 : x
  2. Step 2: Convert to fraction form
    4,150.80/5,728.11 = 2,287.80/x
  3. Step 3: Cross multiply
    4,150.80x = 5,728.11 × 2,287.80
  4. Step 4: Simplify right side
    4,150.80x = 13,104,770.06
  5. Step 5: Solve for x
    x = 13,104,770.06/4,150.80
  6. Step 6: Final answer
    x = 3,157.17

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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.