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Finding the Fourth Proportional to 2,081.36, 3,121.68 and 713.36

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Solution

The fourth proportional to 2,081.36, 3,121.68 and 713.36 is: 1,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.36 : 3,121.68 = 713.36 : x
  2. Step 2: Convert to fraction form
    2,081.36/3,121.68 = 713.36/x
  3. Step 3: Cross multiply
    2,081.36x = 3,121.68 × 713.36
  4. Step 4: Simplify right side
    2,081.36x = 2,226,881.64
  5. Step 5: Solve for x
    x = 2,226,881.64/2,081.36
  6. Step 6: Final answer
    x = 1,069.92

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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.