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Finding the Fourth Proportional to 2,951.74, 4,074.87 and 2,287.09

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Solution

The fourth proportional to 2,951.74, 4,074.87 and 2,287.09 is: 3,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.74 : 4,074.87 = 2,287.09 : x
  2. Step 2: Convert to fraction form
    2,951.74/4,074.87 = 2,287.09/x
  3. Step 3: Cross multiply
    2,951.74x = 4,074.87 × 2,287.09
  4. Step 4: Simplify right side
    2,951.74x = 9,319,594.43
  5. Step 5: Solve for x
    x = 9,319,594.43/2,951.74
  6. Step 6: Final answer
    x = 3,157.32

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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.