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Finding the Fourth Proportional to 2,622.89, 3,620.13 and 1,829.90

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Solution

The fourth proportional to 2,622.89, 3,620.13 and 1,829.90 is: 2,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.89 : 3,620.13 = 1,829.90 : x
  2. Step 2: Convert to fraction form
    2,622.89/3,620.13 = 1,829.90/x
  3. Step 3: Cross multiply
    2,622.89x = 3,620.13 × 1,829.90
  4. Step 4: Simplify right side
    2,622.89x = 6,624,478.08
  5. Step 5: Solve for x
    x = 6,624,478.08/2,622.89
  6. Step 6: Final answer
    x = 2,525.64

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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.