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Finding the Fourth Proportional to 2,137.83, 2,949.19 and 1,391.51

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Solution

The fourth proportional to 2,137.83, 2,949.19 and 1,391.51 is: 1,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.83 : 2,949.19 = 1,391.51 : x
  2. Step 2: Convert to fraction form
    2,137.83/2,949.19 = 1,391.51/x
  3. Step 3: Cross multiply
    2,137.83x = 2,949.19 × 1,391.51
  4. Step 4: Simplify right side
    2,137.83x = 4,103,831.27
  5. Step 5: Solve for x
    x = 4,103,831.27/2,137.83
  6. Step 6: Final answer
    x = 1,919.63

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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.