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Finding the Fourth Proportional to 21,940.34, 32,913.09 and 7,704.45

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Solution

The fourth proportional to 21,940.34, 32,913.09 and 7,704.45 is: 11,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,940.34 : 32,913.09 = 7,704.45 : x
  2. Step 2: Convert to fraction form
    21,940.34/32,913.09 = 7,704.45/x
  3. Step 3: Cross multiply
    21,940.34x = 32,913.09 × 7,704.45
  4. Step 4: Simplify right side
    21,940.34x = 253,577,256.25
  5. Step 5: Solve for x
    x = 253,577,256.25/21,940.34
  6. Step 6: Final answer
    x = 11,557.58

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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.