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Finding the Fourth Proportional to 3,871.74, 5,342.84 and 2,193.24

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Solution

The fourth proportional to 3,871.74, 5,342.84 and 2,193.24 is: 3,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.74 : 5,342.84 = 2,193.24 : x
  2. Step 2: Convert to fraction form
    3,871.74/5,342.84 = 2,193.24/x
  3. Step 3: Cross multiply
    3,871.74x = 5,342.84 × 2,193.24
  4. Step 4: Simplify right side
    3,871.74x = 11,718,130.40
  5. Step 5: Solve for x
    x = 11,718,130.40/3,871.74
  6. Step 6: Final answer
    x = 3,026.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.