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Finding the Fourth Proportional to 2,878.42, 4,317.72 and 798.44

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Solution

The fourth proportional to 2,878.42, 4,317.72 and 798.44 is: 1,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.42 : 4,317.72 = 798.44 : x
  2. Step 2: Convert to fraction form
    2,878.42/4,317.72 = 798.44/x
  3. Step 3: Cross multiply
    2,878.42x = 4,317.72 × 798.44
  4. Step 4: Simplify right side
    2,878.42x = 3,447,436.36
  5. Step 5: Solve for x
    x = 3,447,436.36/2,878.42
  6. Step 6: Final answer
    x = 1,197.69

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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.