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Finding the Fourth Proportional to 2,883.72, 3,976.91 and 1,888.64

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Solution

The fourth proportional to 2,883.72, 3,976.91 and 1,888.64 is: 2,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.72 : 3,976.91 = 1,888.64 : x
  2. Step 2: Convert to fraction form
    2,883.72/3,976.91 = 1,888.64/x
  3. Step 3: Cross multiply
    2,883.72x = 3,976.91 × 1,888.64
  4. Step 4: Simplify right side
    2,883.72x = 7,510,943.97
  5. Step 5: Solve for x
    x = 7,510,943.97/2,883.72
  6. Step 6: Final answer
    x = 2,604.60

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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.