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Finding the Fourth Proportional to 34,232.40, 47,215.44 and 21,645

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Solution

The fourth proportional to 34,232.40, 47,215.44 and 21,645 is: 29,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,232.40 : 47,215.44 = 21,645 : x
  2. Step 2: Convert to fraction form
    34,232.40/47,215.44 = 21,645/x
  3. Step 3: Cross multiply
    34,232.40x = 47,215.44 × 21,645
  4. Step 4: Simplify right side
    34,232.40x = 1,021,978,198.80
  5. Step 5: Solve for x
    x = 1,021,978,198.80/34,232.40
  6. Step 6: Final answer
    x = 29,854.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.