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Finding the Fourth Proportional to 2,349.70, 3,524.27 and 618.46

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Solution

The fourth proportional to 2,349.70, 3,524.27 and 618.46 is: 927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.70 : 3,524.27 = 618.46 : x
  2. Step 2: Convert to fraction form
    2,349.70/3,524.27 = 618.46/x
  3. Step 3: Cross multiply
    2,349.70x = 3,524.27 × 618.46
  4. Step 4: Simplify right side
    2,349.70x = 2,179,620.02
  5. Step 5: Solve for x
    x = 2,179,620.02/2,349.70
  6. Step 6: Final answer
    x = 927.62

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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.