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Finding the Fourth Proportional to 2,617.64, 3,613.04 and 1,622.36

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Solution

The fourth proportional to 2,617.64, 3,613.04 and 1,622.36 is: 2,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.64 : 3,613.04 = 1,622.36 : x
  2. Step 2: Convert to fraction form
    2,617.64/3,613.04 = 1,622.36/x
  3. Step 3: Cross multiply
    2,617.64x = 3,613.04 × 1,622.36
  4. Step 4: Simplify right side
    2,617.64x = 5,861,625.40
  5. Step 5: Solve for x
    x = 5,861,625.40/2,617.64
  6. Step 6: Final answer
    x = 2,239.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.