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Finding the Fourth Proportional to 2,622.08, 3,620 and 1,627.90

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Solution

The fourth proportional to 2,622.08, 3,620 and 1,627.90 is: 2,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.08 : 3,620 = 1,627.90 : x
  2. Step 2: Convert to fraction form
    2,622.08/3,620 = 1,627.90/x
  3. Step 3: Cross multiply
    2,622.08x = 3,620 × 1,627.90
  4. Step 4: Simplify right side
    2,622.08x = 5,892,998
  5. Step 5: Solve for x
    x = 5,892,998/2,622.08
  6. Step 6: Final answer
    x = 2,247.45

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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.