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Finding the Fourth Proportional to 3,878.16, 5,793.64 and 2,480.32

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Solution

The fourth proportional to 3,878.16, 5,793.64 and 2,480.32 is: 3,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.16 : 5,793.64 = 2,480.32 : x
  2. Step 2: Convert to fraction form
    3,878.16/5,793.64 = 2,480.32/x
  3. Step 3: Cross multiply
    3,878.16x = 5,793.64 × 2,480.32
  4. Step 4: Simplify right side
    3,878.16x = 14,370,081.16
  5. Step 5: Solve for x
    x = 14,370,081.16/3,878.16
  6. Step 6: Final answer
    x = 3,705.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.