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Finding the Fourth Proportional to 21,847, 32,919.31 and 19,460.08

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Solution

The fourth proportional to 21,847, 32,919.31 and 19,460.08 is: 29,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847 : 32,919.31 = 19,460.08 : x
  2. Step 2: Convert to fraction form
    21,847/32,919.31 = 19,460.08/x
  3. Step 3: Cross multiply
    21,847x = 32,919.31 × 19,460.08
  4. Step 4: Simplify right side
    21,847x = 640,612,406.14
  5. Step 5: Solve for x
    x = 640,612,406.14/21,847
  6. Step 6: Final answer
    x = 29,322.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.