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Finding the Fourth Proportional to 11,783.69, 17,678.13 and 3,885.89

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Solution

The fourth proportional to 11,783.69, 17,678.13 and 3,885.89 is: 5,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.69 : 17,678.13 = 3,885.89 : x
  2. Step 2: Convert to fraction form
    11,783.69/17,678.13 = 3,885.89/x
  3. Step 3: Cross multiply
    11,783.69x = 17,678.13 × 3,885.89
  4. Step 4: Simplify right side
    11,783.69x = 68,695,268.59
  5. Step 5: Solve for x
    x = 68,695,268.59/11,783.69
  6. Step 6: Final answer
    x = 5,829.69

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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.