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Finding the Fourth Proportional to 3,328.59, 4,992.93 and 863.26

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Solution

The fourth proportional to 3,328.59, 4,992.93 and 863.26 is: 1,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328.59 : 4,992.93 = 863.26 : x
  2. Step 2: Convert to fraction form
    3,328.59/4,992.93 = 863.26/x
  3. Step 3: Cross multiply
    3,328.59x = 4,992.93 × 863.26
  4. Step 4: Simplify right side
    3,328.59x = 4,310,214.65
  5. Step 5: Solve for x
    x = 4,310,214.65/3,328.59
  6. Step 6: Final answer
    x = 1,294.91

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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.