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Finding the Fourth Proportional to 2,782.50, 3,838.79 and 1,838.75

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Solution

The fourth proportional to 2,782.50, 3,838.79 and 1,838.75 is: 2,536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.50 : 3,838.79 = 1,838.75 : x
  2. Step 2: Convert to fraction form
    2,782.50/3,838.79 = 1,838.75/x
  3. Step 3: Cross multiply
    2,782.50x = 3,838.79 × 1,838.75
  4. Step 4: Simplify right side
    2,782.50x = 7,058,546.72
  5. Step 5: Solve for x
    x = 7,058,546.72/2,782.50
  6. Step 6: Final answer
    x = 2,536.76

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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.