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Finding the Fourth Proportional to 32,749.12, 49,109 and 11,958

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Solution

The fourth proportional to 32,749.12, 49,109 and 11,958 is: 17,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749.12 : 49,109 = 11,958 : x
  2. Step 2: Convert to fraction form
    32,749.12/49,109 = 11,958/x
  3. Step 3: Cross multiply
    32,749.12x = 49,109 × 11,958
  4. Step 4: Simplify right side
    32,749.12x = 587,245,422
  5. Step 5: Solve for x
    x = 587,245,422/32,749.12
  6. Step 6: Final answer
    x = 17,931.64

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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.