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Finding the Fourth Proportional to 11,784, 17,678.61 and 3,888.96

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Solution

The fourth proportional to 11,784, 17,678.61 and 3,888.96 is: 5,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784 : 17,678.61 = 3,888.96 : x
  2. Step 2: Convert to fraction form
    11,784/17,678.61 = 3,888.96/x
  3. Step 3: Cross multiply
    11,784x = 17,678.61 × 3,888.96
  4. Step 4: Simplify right side
    11,784x = 68,751,407.15
  5. Step 5: Solve for x
    x = 68,751,407.15/11,784
  6. Step 6: Final answer
    x = 5,834.30

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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.