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Finding the Fourth Proportional to 5,813.64, 8,019.12 and 3,823.47

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Solution

The fourth proportional to 5,813.64, 8,019.12 and 3,823.47 is: 5,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.64 : 8,019.12 = 3,823.47 : x
  2. Step 2: Convert to fraction form
    5,813.64/8,019.12 = 3,823.47/x
  3. Step 3: Cross multiply
    5,813.64x = 8,019.12 × 3,823.47
  4. Step 4: Simplify right side
    5,813.64x = 30,660,864.75
  5. Step 5: Solve for x
    x = 30,660,864.75/5,813.64
  6. Step 6: Final answer
    x = 5,273.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.