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Finding the Fourth Proportional to 2,722.84, 4,083.09 and 873.34

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Solution

The fourth proportional to 2,722.84, 4,083.09 and 873.34 is: 1,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.84 : 4,083.09 = 873.34 : x
  2. Step 2: Convert to fraction form
    2,722.84/4,083.09 = 873.34/x
  3. Step 3: Cross multiply
    2,722.84x = 4,083.09 × 873.34
  4. Step 4: Simplify right side
    2,722.84x = 3,565,925.82
  5. Step 5: Solve for x
    x = 3,565,925.82/2,722.84
  6. Step 6: Final answer
    x = 1,309.63

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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.