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Finding the Fourth Proportional to 2,663.48, 3,995.70 and 1,203.32

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Solution

The fourth proportional to 2,663.48, 3,995.70 and 1,203.32 is: 1,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.48 : 3,995.70 = 1,203.32 : x
  2. Step 2: Convert to fraction form
    2,663.48/3,995.70 = 1,203.32/x
  3. Step 3: Cross multiply
    2,663.48x = 3,995.70 × 1,203.32
  4. Step 4: Simplify right side
    2,663.48x = 4,808,105.72
  5. Step 5: Solve for x
    x = 4,808,105.72/2,663.48
  6. Step 6: Final answer
    x = 1,805.20

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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.