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Finding the Fourth Proportional to 2,684.23, 4,026.93 and 835.39

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Solution

The fourth proportional to 2,684.23, 4,026.93 and 835.39 is: 1,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.23 : 4,026.93 = 835.39 : x
  2. Step 2: Convert to fraction form
    2,684.23/4,026.93 = 835.39/x
  3. Step 3: Cross multiply
    2,684.23x = 4,026.93 × 835.39
  4. Step 4: Simplify right side
    2,684.23x = 3,364,057.05
  5. Step 5: Solve for x
    x = 3,364,057.05/2,684.23
  6. Step 6: Final answer
    x = 1,253.27

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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.