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Finding the Fourth Proportional to 7,229.34, 9,976.64 and 4,085.60

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Solution

The fourth proportional to 7,229.34, 9,976.64 and 4,085.60 is: 5,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.34 : 9,976.64 = 4,085.60 : x
  2. Step 2: Convert to fraction form
    7,229.34/9,976.64 = 4,085.60/x
  3. Step 3: Cross multiply
    7,229.34x = 9,976.64 × 4,085.60
  4. Step 4: Simplify right side
    7,229.34x = 40,760,560.38
  5. Step 5: Solve for x
    x = 40,760,560.38/7,229.34
  6. Step 6: Final answer
    x = 5,638.21

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1.5x scale

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.