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Finding the Fourth Proportional to 3,476.32, 5,205.16 and 1,829.39

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Solution

The fourth proportional to 3,476.32, 5,205.16 and 1,829.39 is: 2,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.32 : 5,205.16 = 1,829.39 : x
  2. Step 2: Convert to fraction form
    3,476.32/5,205.16 = 1,829.39/x
  3. Step 3: Cross multiply
    3,476.32x = 5,205.16 × 1,829.39
  4. Step 4: Simplify right side
    3,476.32x = 9,522,243.91
  5. Step 5: Solve for x
    x = 9,522,243.91/3,476.32
  6. Step 6: Final answer
    x = 2,739.18

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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.