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Finding the Fourth Proportional to 1,859.61, 2,785.74 and 1,338.37

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Solution

The fourth proportional to 1,859.61, 2,785.74 and 1,338.37 is: 2,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.61 : 2,785.74 = 1,338.37 : x
  2. Step 2: Convert to fraction form
    1,859.61/2,785.74 = 1,338.37/x
  3. Step 3: Cross multiply
    1,859.61x = 2,785.74 × 1,338.37
  4. Step 4: Simplify right side
    1,859.61x = 3,728,362.06
  5. Step 5: Solve for x
    x = 3,728,362.06/1,859.61
  6. Step 6: Final answer
    x = 2,004.92

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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.