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Finding the Fourth Proportional to 1,859.66, 2,786.38 and 1,310.68

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Solution

The fourth proportional to 1,859.66, 2,786.38 and 1,310.68 is: 1,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.66 : 2,786.38 = 1,310.68 : x
  2. Step 2: Convert to fraction form
    1,859.66/2,786.38 = 1,310.68/x
  3. Step 3: Cross multiply
    1,859.66x = 2,786.38 × 1,310.68
  4. Step 4: Simplify right side
    1,859.66x = 3,652,032.05
  5. Step 5: Solve for x
    x = 3,652,032.05/1,859.66
  6. Step 6: Final answer
    x = 1,963.82

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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.