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Finding the Fourth Proportional to 2,723.69, 4,084.93 and 1,079.80

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Solution

The fourth proportional to 2,723.69, 4,084.93 and 1,079.80 is: 1,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.69 : 4,084.93 = 1,079.80 : x
  2. Step 2: Convert to fraction form
    2,723.69/4,084.93 = 1,079.80/x
  3. Step 3: Cross multiply
    2,723.69x = 4,084.93 × 1,079.80
  4. Step 4: Simplify right side
    2,723.69x = 4,410,881.59
  5. Step 5: Solve for x
    x = 4,410,881.59/2,723.69
  6. Step 6: Final answer
    x = 1,619.45

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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.