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Finding the Fourth Proportional to 1,973.68, 2,960.40 and 819.44

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Solution

The fourth proportional to 1,973.68, 2,960.40 and 819.44 is: 1,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.68 : 2,960.40 = 819.44 : x
  2. Step 2: Convert to fraction form
    1,973.68/2,960.40 = 819.44/x
  3. Step 3: Cross multiply
    1,973.68x = 2,960.40 × 819.44
  4. Step 4: Simplify right side
    1,973.68x = 2,425,870.18
  5. Step 5: Solve for x
    x = 2,425,870.18/1,973.68
  6. Step 6: Final answer
    x = 1,229.11

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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.