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Finding the Fourth Proportional to 20,674.72, 31,016.08 and 8,828.32

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Solution

The fourth proportional to 20,674.72, 31,016.08 and 8,828.32 is: 13,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.72 : 31,016.08 = 8,828.32 : x
  2. Step 2: Convert to fraction form
    20,674.72/31,016.08 = 8,828.32/x
  3. Step 3: Cross multiply
    20,674.72x = 31,016.08 × 8,828.32
  4. Step 4: Simplify right side
    20,674.72x = 273,819,879.39
  5. Step 5: Solve for x
    x = 273,819,879.39/20,674.72
  6. Step 6: Final answer
    x = 13,244.19

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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.