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Finding the Fourth Proportional to 7,144.26, 9,854.78 and 4,721.64

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Solution

The fourth proportional to 7,144.26, 9,854.78 and 4,721.64 is: 6,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.26 : 9,854.78 = 4,721.64 : x
  2. Step 2: Convert to fraction form
    7,144.26/9,854.78 = 4,721.64/x
  3. Step 3: Cross multiply
    7,144.26x = 9,854.78 × 4,721.64
  4. Step 4: Simplify right side
    7,144.26x = 46,530,735.24
  5. Step 5: Solve for x
    x = 46,530,735.24/7,144.26
  6. Step 6: Final answer
    x = 6,513.02

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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.