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Finding the Fourth Proportional to 4,505.78, 6,743.16 and 3,109.74

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Solution

The fourth proportional to 4,505.78, 6,743.16 and 3,109.74 is: 4,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.78 : 6,743.16 = 3,109.74 : x
  2. Step 2: Convert to fraction form
    4,505.78/6,743.16 = 3,109.74/x
  3. Step 3: Cross multiply
    4,505.78x = 6,743.16 × 3,109.74
  4. Step 4: Simplify right side
    4,505.78x = 20,969,474.38
  5. Step 5: Solve for x
    x = 20,969,474.38/4,505.78
  6. Step 6: Final answer
    x = 4,653.91

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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.