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Finding the Fourth Proportional to 2,223.86, 3,336.15 and 684.50

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Solution

The fourth proportional to 2,223.86, 3,336.15 and 684.50 is: 1,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.86 : 3,336.15 = 684.50 : x
  2. Step 2: Convert to fraction form
    2,223.86/3,336.15 = 684.50/x
  3. Step 3: Cross multiply
    2,223.86x = 3,336.15 × 684.50
  4. Step 4: Simplify right side
    2,223.86x = 2,283,594.68
  5. Step 5: Solve for x
    x = 2,283,594.68/2,223.86
  6. Step 6: Final answer
    x = 1,026.86

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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.