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Finding the Fourth Proportional to 3,888, 5,832 and 2,426.40

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Solution

The fourth proportional to 3,888, 5,832 and 2,426.40 is: 3,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888 : 5,832 = 2,426.40 : x
  2. Step 2: Convert to fraction form
    3,888/5,832 = 2,426.40/x
  3. Step 3: Cross multiply
    3,888x = 5,832 × 2,426.40
  4. Step 4: Simplify right side
    3,888x = 14,150,764.80
  5. Step 5: Solve for x
    x = 14,150,764.80/3,888
  6. Step 6: Final answer
    x = 3,639.60

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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.