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Finding the Fourth Proportional to 20,808.54, 31,214.94 and 6,768

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Solution

The fourth proportional to 20,808.54, 31,214.94 and 6,768 is: 10,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.54 : 31,214.94 = 6,768 : x
  2. Step 2: Convert to fraction form
    20,808.54/31,214.94 = 6,768/x
  3. Step 3: Cross multiply
    20,808.54x = 31,214.94 × 6,768
  4. Step 4: Simplify right side
    20,808.54x = 211,262,713.92
  5. Step 5: Solve for x
    x = 211,262,713.92/20,808.54
  6. Step 6: Final answer
    x = 10,152.69

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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.