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Finding the Fourth Proportional to 1,921.68, 2,881.44 and 622.80

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Solution

The fourth proportional to 1,921.68, 2,881.44 and 622.80 is: 933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.68 : 2,881.44 = 622.80 : x
  2. Step 2: Convert to fraction form
    1,921.68/2,881.44 = 622.80/x
  3. Step 3: Cross multiply
    1,921.68x = 2,881.44 × 622.80
  4. Step 4: Simplify right side
    1,921.68x = 1,794,560.83
  5. Step 5: Solve for x
    x = 1,794,560.83/1,921.68
  6. Step 6: Final answer
    x = 933.85

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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.