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Finding the Fourth Proportional to 5,813.92, 8,022 and 3,455.20

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Solution

The fourth proportional to 5,813.92, 8,022 and 3,455.20 is: 4,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.92 : 8,022 = 3,455.20 : x
  2. Step 2: Convert to fraction form
    5,813.92/8,022 = 3,455.20/x
  3. Step 3: Cross multiply
    5,813.92x = 8,022 × 3,455.20
  4. Step 4: Simplify right side
    5,813.92x = 27,717,614.40
  5. Step 5: Solve for x
    x = 27,717,614.40/5,813.92
  6. Step 6: Final answer
    x = 4,767.46

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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.