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Finding the Fourth Proportional to 19,984, 29,977.44 and 7,672

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Solution

The fourth proportional to 19,984, 29,977.44 and 7,672 is: 11,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984 : 29,977.44 = 7,672 : x
  2. Step 2: Convert to fraction form
    19,984/29,977.44 = 7,672/x
  3. Step 3: Cross multiply
    19,984x = 29,977.44 × 7,672
  4. Step 4: Simplify right side
    19,984x = 229,986,919.68
  5. Step 5: Solve for x
    x = 229,986,919.68/19,984
  6. Step 6: Final answer
    x = 11,508.55

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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.