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Finding the Fourth Proportional to 3,653.64, 5,471.17 and 2,663.42

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Solution

The fourth proportional to 3,653.64, 5,471.17 and 2,663.42 is: 3,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.64 : 5,471.17 = 2,663.42 : x
  2. Step 2: Convert to fraction form
    3,653.64/5,471.17 = 2,663.42/x
  3. Step 3: Cross multiply
    3,653.64x = 5,471.17 × 2,663.42
  4. Step 4: Simplify right side
    3,653.64x = 14,571,989.59
  5. Step 5: Solve for x
    x = 14,571,989.59/3,653.64
  6. Step 6: Final answer
    x = 3,988.35

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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.