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Finding the Fourth Proportional to 2,773.79, 4,160.77 and 1,212.99

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Solution

The fourth proportional to 2,773.79, 4,160.77 and 1,212.99 is: 1,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.79 : 4,160.77 = 1,212.99 : x
  2. Step 2: Convert to fraction form
    2,773.79/4,160.77 = 1,212.99/x
  3. Step 3: Cross multiply
    2,773.79x = 4,160.77 × 1,212.99
  4. Step 4: Simplify right side
    2,773.79x = 5,046,959.62
  5. Step 5: Solve for x
    x = 5,046,959.62/2,773.79
  6. Step 6: Final answer
    x = 1,819.52

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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.