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Finding the Fourth Proportional to 21,930, 32,896.64 and 7,137.80

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Solution

The fourth proportional to 21,930, 32,896.64 and 7,137.80 is: 10,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930 : 32,896.64 = 7,137.80 : x
  2. Step 2: Convert to fraction form
    21,930/32,896.64 = 7,137.80/x
  3. Step 3: Cross multiply
    21,930x = 32,896.64 × 7,137.80
  4. Step 4: Simplify right side
    21,930x = 234,809,636.99
  5. Step 5: Solve for x
    x = 234,809,636.99/21,930
  6. Step 6: Final answer
    x = 10,707.23

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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.