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Finding the Fourth Proportional to 2,671.21, 4,007.20 and 821.83

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Solution

The fourth proportional to 2,671.21, 4,007.20 and 821.83 is: 1,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.21 : 4,007.20 = 821.83 : x
  2. Step 2: Convert to fraction form
    2,671.21/4,007.20 = 821.83/x
  3. Step 3: Cross multiply
    2,671.21x = 4,007.20 × 821.83
  4. Step 4: Simplify right side
    2,671.21x = 3,293,225.10
  5. Step 5: Solve for x
    x = 3,293,225.10/2,671.21
  6. Step 6: Final answer
    x = 1,232.86

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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.