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Finding the Fourth Proportional to 1,287.26, 1,927.23 and 1,079.49

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Solution

The fourth proportional to 1,287.26, 1,927.23 and 1,079.49 is: 1,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.26 : 1,927.23 = 1,079.49 : x
  2. Step 2: Convert to fraction form
    1,287.26/1,927.23 = 1,079.49/x
  3. Step 3: Cross multiply
    1,287.26x = 1,927.23 × 1,079.49
  4. Step 4: Simplify right side
    1,287.26x = 2,080,425.51
  5. Step 5: Solve for x
    x = 2,080,425.51/1,287.26
  6. Step 6: Final answer
    x = 1,616.17

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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.