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Finding the Fourth Proportional to 21,789, 32,688.36 and 7,938

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Solution

The fourth proportional to 21,789, 32,688.36 and 7,938 is: 11,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,789 : 32,688.36 = 7,938 : x
  2. Step 2: Convert to fraction form
    21,789/32,688.36 = 7,938/x
  3. Step 3: Cross multiply
    21,789x = 32,688.36 × 7,938
  4. Step 4: Simplify right side
    21,789x = 259,480,201.68
  5. Step 5: Solve for x
    x = 259,480,201.68/21,789
  6. Step 6: Final answer
    x = 11,908.77

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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.