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Finding the Fourth Proportional to 2,105.43, 3,157.55 and 624.97

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Solution

The fourth proportional to 2,105.43, 3,157.55 and 624.97 is: 937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.43 : 3,157.55 = 624.97 : x
  2. Step 2: Convert to fraction form
    2,105.43/3,157.55 = 624.97/x
  3. Step 3: Cross multiply
    2,105.43x = 3,157.55 × 624.97
  4. Step 4: Simplify right side
    2,105.43x = 1,973,374.02
  5. Step 5: Solve for x
    x = 1,973,374.02/2,105.43
  6. Step 6: Final answer
    x = 937.28

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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.