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Finding the Fourth Proportional to 2,838.22, 3,916.62 and 1,578.71

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Solution

The fourth proportional to 2,838.22, 3,916.62 and 1,578.71 is: 2,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.22 : 3,916.62 = 1,578.71 : x
  2. Step 2: Convert to fraction form
    2,838.22/3,916.62 = 1,578.71/x
  3. Step 3: Cross multiply
    2,838.22x = 3,916.62 × 1,578.71
  4. Step 4: Simplify right side
    2,838.22x = 6,183,216.95
  5. Step 5: Solve for x
    x = 6,183,216.95/2,838.22
  6. Step 6: Final answer
    x = 2,178.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.