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Finding the Fourth Proportional to 5,407, 8,113.62 and 2,286.80

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Solution

The fourth proportional to 5,407, 8,113.62 and 2,286.80 is: 3,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407 : 8,113.62 = 2,286.80 : x
  2. Step 2: Convert to fraction form
    5,407/8,113.62 = 2,286.80/x
  3. Step 3: Cross multiply
    5,407x = 8,113.62 × 2,286.80
  4. Step 4: Simplify right side
    5,407x = 18,554,226.22
  5. Step 5: Solve for x
    x = 18,554,226.22/5,407
  6. Step 6: Final answer
    x = 3,431.52

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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.