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Finding the Fourth Proportional to 11,911.94, 17,873.71 and 8,424.35

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Solution

The fourth proportional to 11,911.94, 17,873.71 and 8,424.35 is: 12,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.94 : 17,873.71 = 8,424.35 : x
  2. Step 2: Convert to fraction form
    11,911.94/17,873.71 = 8,424.35/x
  3. Step 3: Cross multiply
    11,911.94x = 17,873.71 × 8,424.35
  4. Step 4: Simplify right side
    11,911.94x = 150,574,493.36
  5. Step 5: Solve for x
    x = 150,574,493.36/11,911.94
  6. Step 6: Final answer
    x = 12,640.64

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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.