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Finding the Fourth Proportional to 3,877, 5,346.64 and 2,991.40

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Solution

The fourth proportional to 3,877, 5,346.64 and 2,991.40 is: 4,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877 : 5,346.64 = 2,991.40 : x
  2. Step 2: Convert to fraction form
    3,877/5,346.64 = 2,991.40/x
  3. Step 3: Cross multiply
    3,877x = 5,346.64 × 2,991.40
  4. Step 4: Simplify right side
    3,877x = 15,993,938.90
  5. Step 5: Solve for x
    x = 15,993,938.90/3,877
  6. Step 6: Final answer
    x = 4,125.34

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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.