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Finding the Fourth Proportional to 3,878.64, 5,832 and 3,574.26

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Solution

The fourth proportional to 3,878.64, 5,832 and 3,574.26 is: 5,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.64 : 5,832 = 3,574.26 : x
  2. Step 2: Convert to fraction form
    3,878.64/5,832 = 3,574.26/x
  3. Step 3: Cross multiply
    3,878.64x = 5,832 × 3,574.26
  4. Step 4: Simplify right side
    3,878.64x = 20,845,084.32
  5. Step 5: Solve for x
    x = 20,845,084.32/3,878.64
  6. Step 6: Final answer
    x = 5,374.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.