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Finding the Fourth Proportional to 11,808, 16,297.92 and 6,842.88

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Solution

The fourth proportional to 11,808, 16,297.92 and 6,842.88 is: 9,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808 : 16,297.92 = 6,842.88 : x
  2. Step 2: Convert to fraction form
    11,808/16,297.92 = 6,842.88/x
  3. Step 3: Cross multiply
    11,808x = 16,297.92 × 6,842.88
  4. Step 4: Simplify right side
    11,808x = 111,524,710.81
  5. Step 5: Solve for x
    x = 111,524,710.81/11,808
  6. Step 6: Final answer
    x = 9,444.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.