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Finding the Fourth Proportional to 3,878.17, 5,811.61 and 1,653.96

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Solution

The fourth proportional to 3,878.17, 5,811.61 and 1,653.96 is: 2,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.17 : 5,811.61 = 1,653.96 : x
  2. Step 2: Convert to fraction form
    3,878.17/5,811.61 = 1,653.96/x
  3. Step 3: Cross multiply
    3,878.17x = 5,811.61 × 1,653.96
  4. Step 4: Simplify right side
    3,878.17x = 9,612,180.28
  5. Step 5: Solve for x
    x = 9,612,180.28/3,878.17
  6. Step 6: Final answer
    x = 2,478.54

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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.