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Finding the Fourth Proportional to 14,006.39, 21,004.11 and 6,984.09

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Solution

The fourth proportional to 14,006.39, 21,004.11 and 6,984.09 is: 10,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.39 : 21,004.11 = 6,984.09 : x
  2. Step 2: Convert to fraction form
    14,006.39/21,004.11 = 6,984.09/x
  3. Step 3: Cross multiply
    14,006.39x = 21,004.11 × 6,984.09
  4. Step 4: Simplify right side
    14,006.39x = 146,694,594.61
  5. Step 5: Solve for x
    x = 146,694,594.61/14,006.39
  6. Step 6: Final answer
    x = 10,473.41

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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.