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Finding the Fourth Proportional to 1,859.36, 2,772.81 and 1,629.32

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Solution

The fourth proportional to 1,859.36, 2,772.81 and 1,629.32 is: 2,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.36 : 2,772.81 = 1,629.32 : x
  2. Step 2: Convert to fraction form
    1,859.36/2,772.81 = 1,629.32/x
  3. Step 3: Cross multiply
    1,859.36x = 2,772.81 × 1,629.32
  4. Step 4: Simplify right side
    1,859.36x = 4,517,794.79
  5. Step 5: Solve for x
    x = 4,517,794.79/1,859.36
  6. Step 6: Final answer
    x = 2,429.76

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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.