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Finding the Fourth Proportional to 5,813.72, 8,023.02 and 3,161.13

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Solution

The fourth proportional to 5,813.72, 8,023.02 and 3,161.13 is: 4,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.72 : 8,023.02 = 3,161.13 : x
  2. Step 2: Convert to fraction form
    5,813.72/8,023.02 = 3,161.13/x
  3. Step 3: Cross multiply
    5,813.72x = 8,023.02 × 3,161.13
  4. Step 4: Simplify right side
    5,813.72x = 25,361,809.21
  5. Step 5: Solve for x
    x = 25,361,809.21/5,813.72
  6. Step 6: Final answer
    x = 4,362.41

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1.5x scale

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.