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Finding the Fourth Proportional to 11,784.78, 17,677.80 and 3,019.77

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Solution

The fourth proportional to 11,784.78, 17,677.80 and 3,019.77 is: 4,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.78 : 17,677.80 = 3,019.77 : x
  2. Step 2: Convert to fraction form
    11,784.78/17,677.80 = 3,019.77/x
  3. Step 3: Cross multiply
    11,784.78x = 17,677.80 × 3,019.77
  4. Step 4: Simplify right side
    11,784.78x = 53,382,890.11
  5. Step 5: Solve for x
    x = 53,382,890.11/11,784.78
  6. Step 6: Final answer
    x = 4,529.82

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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.