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Finding the Fourth Proportional to 4,914.64, 6,781.44 and 2,790.32

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Solution

The fourth proportional to 4,914.64, 6,781.44 and 2,790.32 is: 3,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.64 : 6,781.44 = 2,790.32 : x
  2. Step 2: Convert to fraction form
    4,914.64/6,781.44 = 2,790.32/x
  3. Step 3: Cross multiply
    4,914.64x = 6,781.44 × 2,790.32
  4. Step 4: Simplify right side
    4,914.64x = 18,922,387.66
  5. Step 5: Solve for x
    x = 18,922,387.66/4,914.64
  6. Step 6: Final answer
    x = 3,850.21

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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.