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Finding the Fourth Proportional to 19,797.72, 29,698.02 and 6,649.98

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Solution

The fourth proportional to 19,797.72, 29,698.02 and 6,649.98 is: 9,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.72 : 29,698.02 = 6,649.98 : x
  2. Step 2: Convert to fraction form
    19,797.72/29,698.02 = 6,649.98/x
  3. Step 3: Cross multiply
    19,797.72x = 29,698.02 × 6,649.98
  4. Step 4: Simplify right side
    19,797.72x = 197,491,239.04
  5. Step 5: Solve for x
    x = 197,491,239.04/19,797.72
  6. Step 6: Final answer
    x = 9,975.45

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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.