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Finding the Fourth Proportional to 1,784.54, 2,463.22 and 1,225.79

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Solution

The fourth proportional to 1,784.54, 2,463.22 and 1,225.79 is: 1,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.54 : 2,463.22 = 1,225.79 : x
  2. Step 2: Convert to fraction form
    1,784.54/2,463.22 = 1,225.79/x
  3. Step 3: Cross multiply
    1,784.54x = 2,463.22 × 1,225.79
  4. Step 4: Simplify right side
    1,784.54x = 3,019,390.44
  5. Step 5: Solve for x
    x = 3,019,390.44/1,784.54
  6. Step 6: Final answer
    x = 1,691.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.