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Finding the Fourth Proportional to 2,620.50, 3,617.10 and 1,689

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Solution

The fourth proportional to 2,620.50, 3,617.10 and 1,689 is: 2,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.50 : 3,617.10 = 1,689 : x
  2. Step 2: Convert to fraction form
    2,620.50/3,617.10 = 1,689/x
  3. Step 3: Cross multiply
    2,620.50x = 3,617.10 × 1,689
  4. Step 4: Simplify right side
    2,620.50x = 6,109,281.90
  5. Step 5: Solve for x
    x = 6,109,281.90/2,620.50
  6. Step 6: Final answer
    x = 2,331.34

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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.