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Finding the Fourth Proportional to 19,990.26, 29,975.81 and 9,451.49

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Solution

The fourth proportional to 19,990.26, 29,975.81 and 9,451.49 is: 14,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,990.26 : 29,975.81 = 9,451.49 : x
  2. Step 2: Convert to fraction form
    19,990.26/29,975.81 = 9,451.49/x
  3. Step 3: Cross multiply
    19,990.26x = 29,975.81 × 9,451.49
  4. Step 4: Simplify right side
    19,990.26x = 283,315,871.32
  5. Step 5: Solve for x
    x = 283,315,871.32/19,990.26
  6. Step 6: Final answer
    x = 14,172.70

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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.