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Finding the Fourth Proportional to 5,384.75, 8,062.71 and 3,161.75

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Solution

The fourth proportional to 5,384.75, 8,062.71 and 3,161.75 is: 4,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.75 : 8,062.71 = 3,161.75 : x
  2. Step 2: Convert to fraction form
    5,384.75/8,062.71 = 3,161.75/x
  3. Step 3: Cross multiply
    5,384.75x = 8,062.71 × 3,161.75
  4. Step 4: Simplify right side
    5,384.75x = 25,492,233.03
  5. Step 5: Solve for x
    x = 25,492,233.03/5,384.75
  6. Step 6: Final answer
    x = 4,734.16

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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.