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Finding the Fourth Proportional to 1,921.59, 2,882.66 and 622.76

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Solution

The fourth proportional to 1,921.59, 2,882.66 and 622.76 is: 934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.59 : 2,882.66 = 622.76 : x
  2. Step 2: Convert to fraction form
    1,921.59/2,882.66 = 622.76/x
  3. Step 3: Cross multiply
    1,921.59x = 2,882.66 × 622.76
  4. Step 4: Simplify right side
    1,921.59x = 1,795,187.81
  5. Step 5: Solve for x
    x = 1,795,187.81/1,921.59
  6. Step 6: Final answer
    x = 934.22

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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.