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Finding the Fourth Proportional to 3,980.64, 5,962.74 and 3,102.21

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Solution

The fourth proportional to 3,980.64, 5,962.74 and 3,102.21 is: 4,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.64 : 5,962.74 = 3,102.21 : x
  2. Step 2: Convert to fraction form
    3,980.64/5,962.74 = 3,102.21/x
  3. Step 3: Cross multiply
    3,980.64x = 5,962.74 × 3,102.21
  4. Step 4: Simplify right side
    3,980.64x = 18,497,671.66
  5. Step 5: Solve for x
    x = 18,497,671.66/3,980.64
  6. Step 6: Final answer
    x = 4,646.91

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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.