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Finding the Fourth Proportional to 9,269, 12,749.73 and 8,129.06

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Solution

The fourth proportional to 9,269, 12,749.73 and 8,129.06 is: 11,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269 : 12,749.73 = 8,129.06 : x
  2. Step 2: Convert to fraction form
    9,269/12,749.73 = 8,129.06/x
  3. Step 3: Cross multiply
    9,269x = 12,749.73 × 8,129.06
  4. Step 4: Simplify right side
    9,269x = 103,643,320.15
  5. Step 5: Solve for x
    x = 103,643,320.15/9,269
  6. Step 6: Final answer
    x = 11,181.72

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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.