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Finding the Fourth Proportional to 3,907.96, 5,863.16 and 1,311.01

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Solution

The fourth proportional to 3,907.96, 5,863.16 and 1,311.01 is: 1,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.96 : 5,863.16 = 1,311.01 : x
  2. Step 2: Convert to fraction form
    3,907.96/5,863.16 = 1,311.01/x
  3. Step 3: Cross multiply
    3,907.96x = 5,863.16 × 1,311.01
  4. Step 4: Simplify right side
    3,907.96x = 7,686,661.39
  5. Step 5: Solve for x
    x = 7,686,661.39/3,907.96
  6. Step 6: Final answer
    x = 1,966.92

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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.