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Finding the Fourth Proportional to 2,951.72, 4,074.94 and 2,287.08

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Solution

The fourth proportional to 2,951.72, 4,074.94 and 2,287.08 is: 3,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.72 : 4,074.94 = 2,287.08 : x
  2. Step 2: Convert to fraction form
    2,951.72/4,074.94 = 2,287.08/x
  3. Step 3: Cross multiply
    2,951.72x = 4,074.94 × 2,287.08
  4. Step 4: Simplify right side
    2,951.72x = 9,319,713.78
  5. Step 5: Solve for x
    x = 9,319,713.78/2,951.72
  6. Step 6: Final answer
    x = 3,157.38

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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.