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Finding the Fourth Proportional to 20,703, 31,059.36 and 6,852

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Solution

The fourth proportional to 20,703, 31,059.36 and 6,852 is: 10,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703 : 31,059.36 = 6,852 : x
  2. Step 2: Convert to fraction form
    20,703/31,059.36 = 6,852/x
  3. Step 3: Cross multiply
    20,703x = 31,059.36 × 6,852
  4. Step 4: Simplify right side
    20,703x = 212,818,734.72
  5. Step 5: Solve for x
    x = 212,818,734.72/20,703
  6. Step 6: Final answer
    x = 10,279.61

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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.