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Finding the Fourth Proportional to 2,906.88, 4,012.32 and 2,814.48

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Solution

The fourth proportional to 2,906.88, 4,012.32 and 2,814.48 is: 3,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.88 : 4,012.32 = 2,814.48 : x
  2. Step 2: Convert to fraction form
    2,906.88/4,012.32 = 2,814.48/x
  3. Step 3: Cross multiply
    2,906.88x = 4,012.32 × 2,814.48
  4. Step 4: Simplify right side
    2,906.88x = 11,292,594.39
  5. Step 5: Solve for x
    x = 11,292,594.39/2,906.88
  6. Step 6: Final answer
    x = 3,884.78

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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.