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Finding the Fourth Proportional to 9,600.75, 14,401.13 and 4,128.75

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Solution

The fourth proportional to 9,600.75, 14,401.13 and 4,128.75 is: 6,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.75 : 14,401.13 = 4,128.75 : x
  2. Step 2: Convert to fraction form
    9,600.75/14,401.13 = 4,128.75/x
  3. Step 3: Cross multiply
    9,600.75x = 14,401.13 × 4,128.75
  4. Step 4: Simplify right side
    9,600.75x = 59,458,665.49
  5. Step 5: Solve for x
    x = 59,458,665.49/9,600.75
  6. Step 6: Final answer
    x = 6,193.13

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Similar ratio
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1.5x scale

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.