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Finding the Fourth Proportional to 4,150.79, 5,728.16 and 2,287.79

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Solution

The fourth proportional to 4,150.79, 5,728.16 and 2,287.79 is: 3,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.79 : 5,728.16 = 2,287.79 : x
  2. Step 2: Convert to fraction form
    4,150.79/5,728.16 = 2,287.79/x
  3. Step 3: Cross multiply
    4,150.79x = 5,728.16 × 2,287.79
  4. Step 4: Simplify right side
    4,150.79x = 13,104,815.73
  5. Step 5: Solve for x
    x = 13,104,815.73/4,150.79
  6. Step 6: Final answer
    x = 3,157.19

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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.