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Finding the Fourth Proportional to 3,821.64, 5,731.16 and 1,356.11

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Solution

The fourth proportional to 3,821.64, 5,731.16 and 1,356.11 is: 2,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.64 : 5,731.16 = 1,356.11 : x
  2. Step 2: Convert to fraction form
    3,821.64/5,731.16 = 1,356.11/x
  3. Step 3: Cross multiply
    3,821.64x = 5,731.16 × 1,356.11
  4. Step 4: Simplify right side
    3,821.64x = 7,772,054.73
  5. Step 5: Solve for x
    x = 7,772,054.73/3,821.64
  6. Step 6: Final answer
    x = 2,033.70

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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.