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Finding the Fourth Proportional to 9,738.93, 14,609.26 and 7,138.80

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Solution

The fourth proportional to 9,738.93, 14,609.26 and 7,138.80 is: 10,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.93 : 14,609.26 = 7,138.80 : x
  2. Step 2: Convert to fraction form
    9,738.93/14,609.26 = 7,138.80/x
  3. Step 3: Cross multiply
    9,738.93x = 14,609.26 × 7,138.80
  4. Step 4: Simplify right side
    9,738.93x = 104,292,594.21
  5. Step 5: Solve for x
    x = 104,292,594.21/9,738.93
  6. Step 6: Final answer
    x = 10,708.83

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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.