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Finding the Fourth Proportional to 5,285.43, 7,922.42 and 3,437.86

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Solution

The fourth proportional to 5,285.43, 7,922.42 and 3,437.86 is: 5,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.43 : 7,922.42 = 3,437.86 : x
  2. Step 2: Convert to fraction form
    5,285.43/7,922.42 = 3,437.86/x
  3. Step 3: Cross multiply
    5,285.43x = 7,922.42 × 3,437.86
  4. Step 4: Simplify right side
    5,285.43x = 27,236,170.82
  5. Step 5: Solve for x
    x = 27,236,170.82/5,285.43
  6. Step 6: Final answer
    x = 5,153.07

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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.