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Finding the Fourth Proportional to 3,454.78, 4,767.78 and 2,039.30

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Solution

The fourth proportional to 3,454.78, 4,767.78 and 2,039.30 is: 2,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.78 : 4,767.78 = 2,039.30 : x
  2. Step 2: Convert to fraction form
    3,454.78/4,767.78 = 2,039.30/x
  3. Step 3: Cross multiply
    3,454.78x = 4,767.78 × 2,039.30
  4. Step 4: Simplify right side
    3,454.78x = 9,722,933.75
  5. Step 5: Solve for x
    x = 9,722,933.75/3,454.78
  6. Step 6: Final answer
    x = 2,814.34

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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.