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Finding the Fourth Proportional to 19,983, 29,975.94 and 7,671

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Solution

The fourth proportional to 19,983, 29,975.94 and 7,671 is: 11,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983 : 29,975.94 = 7,671 : x
  2. Step 2: Convert to fraction form
    19,983/29,975.94 = 7,671/x
  3. Step 3: Cross multiply
    19,983x = 29,975.94 × 7,671
  4. Step 4: Simplify right side
    19,983x = 229,945,435.74
  5. Step 5: Solve for x
    x = 229,945,435.74/19,983
  6. Step 6: Final answer
    x = 11,507.05

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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.