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Finding the Fourth Proportional to 19,984.62, 29,978.30 and 6,846.22

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Solution

The fourth proportional to 19,984.62, 29,978.30 and 6,846.22 is: 10,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.62 : 29,978.30 = 6,846.22 : x
  2. Step 2: Convert to fraction form
    19,984.62/29,978.30 = 6,846.22/x
  3. Step 3: Cross multiply
    19,984.62x = 29,978.30 × 6,846.22
  4. Step 4: Simplify right side
    19,984.62x = 205,238,091.61
  5. Step 5: Solve for x
    x = 205,238,091.61/19,984.62
  6. Step 6: Final answer
    x = 10,269.80

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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.