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Finding the Fourth Proportional to 7,833.22, 11,749.67 and 1,910.12

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Solution

The fourth proportional to 7,833.22, 11,749.67 and 1,910.12 is: 2,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.22 : 11,749.67 = 1,910.12 : x
  2. Step 2: Convert to fraction form
    7,833.22/11,749.67 = 1,910.12/x
  3. Step 3: Cross multiply
    7,833.22x = 11,749.67 × 1,910.12
  4. Step 4: Simplify right side
    7,833.22x = 22,443,299.48
  5. Step 5: Solve for x
    x = 22,443,299.48/7,833.22
  6. Step 6: Final answer
    x = 2,865.14

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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.