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Finding the Fourth Proportional to 19,980.47, 29,963.32 and 6,829.31

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Solution

The fourth proportional to 19,980.47, 29,963.32 and 6,829.31 is: 10,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.47 : 29,963.32 = 6,829.31 : x
  2. Step 2: Convert to fraction form
    19,980.47/29,963.32 = 6,829.31/x
  3. Step 3: Cross multiply
    19,980.47x = 29,963.32 × 6,829.31
  4. Step 4: Simplify right side
    19,980.47x = 204,628,858.74
  5. Step 5: Solve for x
    x = 204,628,858.74/19,980.47
  6. Step 6: Final answer
    x = 10,241.44

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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.