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Finding the Fourth Proportional to 1,805.88, 2,707.38 and 1,422.84

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Solution

The fourth proportional to 1,805.88, 2,707.38 and 1,422.84 is: 2,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.88 : 2,707.38 = 1,422.84 : x
  2. Step 2: Convert to fraction form
    1,805.88/2,707.38 = 1,422.84/x
  3. Step 3: Cross multiply
    1,805.88x = 2,707.38 × 1,422.84
  4. Step 4: Simplify right side
    1,805.88x = 3,852,168.56
  5. Step 5: Solve for x
    x = 3,852,168.56/1,805.88
  6. Step 6: Final answer
    x = 2,133.13

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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.