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Finding the Fourth Proportional to 1,919.98, 2,882.64 and 996.22

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Solution

The fourth proportional to 1,919.98, 2,882.64 and 996.22 is: 1,495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.98 : 2,882.64 = 996.22 : x
  2. Step 2: Convert to fraction form
    1,919.98/2,882.64 = 996.22/x
  3. Step 3: Cross multiply
    1,919.98x = 2,882.64 × 996.22
  4. Step 4: Simplify right side
    1,919.98x = 2,871,743.62
  5. Step 5: Solve for x
    x = 2,871,743.62/1,919.98
  6. Step 6: Final answer
    x = 1,495.72

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1.5x scale

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.