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Finding the Fourth Proportional to 2,881.35, 3,976.02 and 1,622.25

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Solution

The fourth proportional to 2,881.35, 3,976.02 and 1,622.25 is: 2,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.35 : 3,976.02 = 1,622.25 : x
  2. Step 2: Convert to fraction form
    2,881.35/3,976.02 = 1,622.25/x
  3. Step 3: Cross multiply
    2,881.35x = 3,976.02 × 1,622.25
  4. Step 4: Simplify right side
    2,881.35x = 6,450,098.45
  5. Step 5: Solve for x
    x = 6,450,098.45/2,881.35
  6. Step 6: Final answer
    x = 2,238.57

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1.5x scale

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.