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Finding the Fourth Proportional to 2,905.18, 4,357.82 and 825.19

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Solution

The fourth proportional to 2,905.18, 4,357.82 and 825.19 is: 1,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.18 : 4,357.82 = 825.19 : x
  2. Step 2: Convert to fraction form
    2,905.18/4,357.82 = 825.19/x
  3. Step 3: Cross multiply
    2,905.18x = 4,357.82 × 825.19
  4. Step 4: Simplify right side
    2,905.18x = 3,596,028.27
  5. Step 5: Solve for x
    x = 3,596,028.27/2,905.18
  6. Step 6: Final answer
    x = 1,237.80

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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.