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Finding the Fourth Proportional to 2,858.43, 4,288.07 and 911.07

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Solution

The fourth proportional to 2,858.43, 4,288.07 and 911.07 is: 1,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.43 : 4,288.07 = 911.07 : x
  2. Step 2: Convert to fraction form
    2,858.43/4,288.07 = 911.07/x
  3. Step 3: Cross multiply
    2,858.43x = 4,288.07 × 911.07
  4. Step 4: Simplify right side
    2,858.43x = 3,906,731.93
  5. Step 5: Solve for x
    x = 3,906,731.93/2,858.43
  6. Step 6: Final answer
    x = 1,366.74

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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.