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Finding the Fourth Proportional to 2,838.71, 4,254.12 and 2,144.81

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Solution

The fourth proportional to 2,838.71, 4,254.12 and 2,144.81 is: 3,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.71 : 4,254.12 = 2,144.81 : x
  2. Step 2: Convert to fraction form
    2,838.71/4,254.12 = 2,144.81/x
  3. Step 3: Cross multiply
    2,838.71x = 4,254.12 × 2,144.81
  4. Step 4: Simplify right side
    2,838.71x = 9,124,257.85
  5. Step 5: Solve for x
    x = 9,124,257.85/2,838.71
  6. Step 6: Final answer
    x = 3,214.23

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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.