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Finding the Fourth Proportional to 1,663.91, 2,489.52 and 1,003.36

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Solution

The fourth proportional to 1,663.91, 2,489.52 and 1,003.36 is: 1,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.91 : 2,489.52 = 1,003.36 : x
  2. Step 2: Convert to fraction form
    1,663.91/2,489.52 = 1,003.36/x
  3. Step 3: Cross multiply
    1,663.91x = 2,489.52 × 1,003.36
  4. Step 4: Simplify right side
    1,663.91x = 2,497,872.34
  5. Step 5: Solve for x
    x = 2,497,872.34/1,663.91
  6. Step 6: Final answer
    x = 1,501.21

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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.