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Finding the Fourth Proportional to 9,279.82, 13,903.48 and 7,729.75

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Solution

The fourth proportional to 9,279.82, 13,903.48 and 7,729.75 is: 11,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.82 : 13,903.48 = 7,729.75 : x
  2. Step 2: Convert to fraction form
    9,279.82/13,903.48 = 7,729.75/x
  3. Step 3: Cross multiply
    9,279.82x = 13,903.48 × 7,729.75
  4. Step 4: Simplify right side
    9,279.82x = 107,470,424.53
  5. Step 5: Solve for x
    x = 107,470,424.53/9,279.82
  6. Step 6: Final answer
    x = 11,581.09

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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.