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Finding the Fourth Proportional to 20,873.36, 31,314.36 and 7,022

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Solution

The fourth proportional to 20,873.36, 31,314.36 and 7,022 is: 10,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.36 : 31,314.36 = 7,022 : x
  2. Step 2: Convert to fraction form
    20,873.36/31,314.36 = 7,022/x
  3. Step 3: Cross multiply
    20,873.36x = 31,314.36 × 7,022
  4. Step 4: Simplify right side
    20,873.36x = 219,889,435.92
  5. Step 5: Solve for x
    x = 219,889,435.92/20,873.36
  6. Step 6: Final answer
    x = 10,534.45

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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.