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Finding the Fourth Proportional to 1,859.10, 2,767.41 and 1,831.41

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Solution

The fourth proportional to 1,859.10, 2,767.41 and 1,831.41 is: 2,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.10 : 2,767.41 = 1,831.41 : x
  2. Step 2: Convert to fraction form
    1,859.10/2,767.41 = 1,831.41/x
  3. Step 3: Cross multiply
    1,859.10x = 2,767.41 × 1,831.41
  4. Step 4: Simplify right side
    1,859.10x = 5,068,262.35
  5. Step 5: Solve for x
    x = 5,068,262.35/1,859.10
  6. Step 6: Final answer
    x = 2,726.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.