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Finding the Fourth Proportional to 1,276.70, 1,919.10 and 1,203.80

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Solution

The fourth proportional to 1,276.70, 1,919.10 and 1,203.80 is: 1,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.70 : 1,919.10 = 1,203.80 : x
  2. Step 2: Convert to fraction form
    1,276.70/1,919.10 = 1,203.80/x
  3. Step 3: Cross multiply
    1,276.70x = 1,919.10 × 1,203.80
  4. Step 4: Simplify right side
    1,276.70x = 2,310,212.58
  5. Step 5: Solve for x
    x = 2,310,212.58/1,276.70
  6. Step 6: Final answer
    x = 1,809.52

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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.