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Finding the Fourth Proportional to 2,865.18, 4,297.42 and 785.36

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Solution

The fourth proportional to 2,865.18, 4,297.42 and 785.36 is: 1,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.18 : 4,297.42 = 785.36 : x
  2. Step 2: Convert to fraction form
    2,865.18/4,297.42 = 785.36/x
  3. Step 3: Cross multiply
    2,865.18x = 4,297.42 × 785.36
  4. Step 4: Simplify right side
    2,865.18x = 3,375,033.50
  5. Step 5: Solve for x
    x = 3,375,033.50/2,865.18
  6. Step 6: Final answer
    x = 1,177.95

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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.