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Finding the Fourth Proportional to 2,906.76, 4,360.14 and 826.80

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Solution

The fourth proportional to 2,906.76, 4,360.14 and 826.80 is: 1,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.76 : 4,360.14 = 826.80 : x
  2. Step 2: Convert to fraction form
    2,906.76/4,360.14 = 826.80/x
  3. Step 3: Cross multiply
    2,906.76x = 4,360.14 × 826.80
  4. Step 4: Simplify right side
    2,906.76x = 3,604,963.75
  5. Step 5: Solve for x
    x = 3,604,963.75/2,906.76
  6. Step 6: Final answer
    x = 1,240.20

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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.