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Finding the Fourth Proportional to 3,884.58, 5,822.01 and 1,690.83

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Solution

The fourth proportional to 3,884.58, 5,822.01 and 1,690.83 is: 2,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.58 : 5,822.01 = 1,690.83 : x
  2. Step 2: Convert to fraction form
    3,884.58/5,822.01 = 1,690.83/x
  3. Step 3: Cross multiply
    3,884.58x = 5,822.01 × 1,690.83
  4. Step 4: Simplify right side
    3,884.58x = 9,844,029.17
  5. Step 5: Solve for x
    x = 9,844,029.17/3,884.58
  6. Step 6: Final answer
    x = 2,534.13

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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.