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Finding the Fourth Proportional to 21,583.69, 32,390.21 and 7,732.69

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Solution

The fourth proportional to 21,583.69, 32,390.21 and 7,732.69 is: 11,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,583.69 : 32,390.21 = 7,732.69 : x
  2. Step 2: Convert to fraction form
    21,583.69/32,390.21 = 7,732.69/x
  3. Step 3: Cross multiply
    21,583.69x = 32,390.21 × 7,732.69
  4. Step 4: Simplify right side
    21,583.69x = 250,463,391.32
  5. Step 5: Solve for x
    x = 250,463,391.32/21,583.69
  6. Step 6: Final answer
    x = 11,604.29

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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.