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Finding the Fourth Proportional to 10,821, 16,231.56 and 3,525

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Solution

The fourth proportional to 10,821, 16,231.56 and 3,525 is: 5,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821 : 16,231.56 = 3,525 : x
  2. Step 2: Convert to fraction form
    10,821/16,231.56 = 3,525/x
  3. Step 3: Cross multiply
    10,821x = 16,231.56 × 3,525
  4. Step 4: Simplify right side
    10,821x = 57,216,249
  5. Step 5: Solve for x
    x = 57,216,249/10,821
  6. Step 6: Final answer
    x = 5,287.52

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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.