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Finding the Fourth Proportional to 1,809.09, 2,715.80 and 1,079.01

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Solution

The fourth proportional to 1,809.09, 2,715.80 and 1,079.01 is: 1,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.09 : 2,715.80 = 1,079.01 : x
  2. Step 2: Convert to fraction form
    1,809.09/2,715.80 = 1,079.01/x
  3. Step 3: Cross multiply
    1,809.09x = 2,715.80 × 1,079.01
  4. Step 4: Simplify right side
    1,809.09x = 2,930,375.36
  5. Step 5: Solve for x
    x = 2,930,375.36/1,809.09
  6. Step 6: Final answer
    x = 1,619.81

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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.