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Finding the Fourth Proportional to 2,880.97, 3,976.09 and 1,886.49

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Solution

The fourth proportional to 2,880.97, 3,976.09 and 1,886.49 is: 2,603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.97 : 3,976.09 = 1,886.49 : x
  2. Step 2: Convert to fraction form
    2,880.97/3,976.09 = 1,886.49/x
  3. Step 3: Cross multiply
    2,880.97x = 3,976.09 × 1,886.49
  4. Step 4: Simplify right side
    2,880.97x = 7,500,849.31
  5. Step 5: Solve for x
    x = 7,500,849.31/2,880.97
  6. Step 6: Final answer
    x = 2,603.59

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1.5x scale

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.