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Finding the Fourth Proportional to 2,910.53, 4,365.14 and 829.95

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Solution

The fourth proportional to 2,910.53, 4,365.14 and 829.95 is: 1,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.53 : 4,365.14 = 829.95 : x
  2. Step 2: Convert to fraction form
    2,910.53/4,365.14 = 829.95/x
  3. Step 3: Cross multiply
    2,910.53x = 4,365.14 × 829.95
  4. Step 4: Simplify right side
    2,910.53x = 3,622,832.09
  5. Step 5: Solve for x
    x = 3,622,832.09/2,910.53
  6. Step 6: Final answer
    x = 1,244.73

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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.