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Finding the Fourth Proportional to 3,914.15, 5,871.02 and 1,281.32

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Solution

The fourth proportional to 3,914.15, 5,871.02 and 1,281.32 is: 1,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.15 : 5,871.02 = 1,281.32 : x
  2. Step 2: Convert to fraction form
    3,914.15/5,871.02 = 1,281.32/x
  3. Step 3: Cross multiply
    3,914.15x = 5,871.02 × 1,281.32
  4. Step 4: Simplify right side
    3,914.15x = 7,522,667.22
  5. Step 5: Solve for x
    x = 7,522,667.22/3,914.15
  6. Step 6: Final answer
    x = 1,921.92

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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.