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Finding the Fourth Proportional to 3,616.63, 5,416.23 and 1,763.21

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Solution

The fourth proportional to 3,616.63, 5,416.23 and 1,763.21 is: 2,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.63 : 5,416.23 = 1,763.21 : x
  2. Step 2: Convert to fraction form
    3,616.63/5,416.23 = 1,763.21/x
  3. Step 3: Cross multiply
    3,616.63x = 5,416.23 × 1,763.21
  4. Step 4: Simplify right side
    3,616.63x = 9,549,950.90
  5. Step 5: Solve for x
    x = 9,549,950.90/3,616.63
  6. Step 6: Final answer
    x = 2,640.57

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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.