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Finding the Fourth Proportional to 3,878.70, 5,820.44 and 1,538.31

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Solution

The fourth proportional to 3,878.70, 5,820.44 and 1,538.31 is: 2,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.70 : 5,820.44 = 1,538.31 : x
  2. Step 2: Convert to fraction form
    3,878.70/5,820.44 = 1,538.31/x
  3. Step 3: Cross multiply
    3,878.70x = 5,820.44 × 1,538.31
  4. Step 4: Simplify right side
    3,878.70x = 8,953,641.06
  5. Step 5: Solve for x
    x = 8,953,641.06/3,878.70
  6. Step 6: Final answer
    x = 2,308.41

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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.