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Finding the Fourth Proportional to 1,662.46, 2,490.77 and 1,481.47

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Solution

The fourth proportional to 1,662.46, 2,490.77 and 1,481.47 is: 2,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.46 : 2,490.77 = 1,481.47 : x
  2. Step 2: Convert to fraction form
    1,662.46/2,490.77 = 1,481.47/x
  3. Step 3: Cross multiply
    1,662.46x = 2,490.77 × 1,481.47
  4. Step 4: Simplify right side
    1,662.46x = 3,690,001.03
  5. Step 5: Solve for x
    x = 3,690,001.03/1,662.46
  6. Step 6: Final answer
    x = 2,219.60

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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.