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Finding the Fourth Proportional to 1,280.76, 1,906.58 and 1,221.12

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Solution

The fourth proportional to 1,280.76, 1,906.58 and 1,221.12 is: 1,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.76 : 1,906.58 = 1,221.12 : x
  2. Step 2: Convert to fraction form
    1,280.76/1,906.58 = 1,221.12/x
  3. Step 3: Cross multiply
    1,280.76x = 1,906.58 × 1,221.12
  4. Step 4: Simplify right side
    1,280.76x = 2,328,162.97
  5. Step 5: Solve for x
    x = 2,328,162.97/1,280.76
  6. Step 6: Final answer
    x = 1,817.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.