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Finding the Fourth Proportional to 3,886.40, 5,363.20 and 2,118

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Solution

The fourth proportional to 3,886.40, 5,363.20 and 2,118 is: 2,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.40 : 5,363.20 = 2,118 : x
  2. Step 2: Convert to fraction form
    3,886.40/5,363.20 = 2,118/x
  3. Step 3: Cross multiply
    3,886.40x = 5,363.20 × 2,118
  4. Step 4: Simplify right side
    3,886.40x = 11,359,257.60
  5. Step 5: Solve for x
    x = 11,359,257.60/3,886.40
  6. Step 6: Final answer
    x = 2,922.82

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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.