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Finding the Fourth Proportional to 1,989.49, 2,983.77 and 819.19

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Solution

The fourth proportional to 1,989.49, 2,983.77 and 819.19 is: 1,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.49 : 2,983.77 = 819.19 : x
  2. Step 2: Convert to fraction form
    1,989.49/2,983.77 = 819.19/x
  3. Step 3: Cross multiply
    1,989.49x = 2,983.77 × 819.19
  4. Step 4: Simplify right side
    1,989.49x = 2,444,274.55
  5. Step 5: Solve for x
    x = 2,444,274.55/1,989.49
  6. Step 6: Final answer
    x = 1,228.59

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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.