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Finding the Fourth Proportional to 2,700.88, 3,725.90 and 1,581.84

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Solution

The fourth proportional to 2,700.88, 3,725.90 and 1,581.84 is: 2,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.88 : 3,725.90 = 1,581.84 : x
  2. Step 2: Convert to fraction form
    2,700.88/3,725.90 = 1,581.84/x
  3. Step 3: Cross multiply
    2,700.88x = 3,725.90 × 1,581.84
  4. Step 4: Simplify right side
    2,700.88x = 5,893,777.66
  5. Step 5: Solve for x
    x = 5,893,777.66/2,700.88
  6. Step 6: Final answer
    x = 2,182.17

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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.