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Finding the Fourth Proportional to 21,193.91, 29,249 and 11,762.47

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Solution

The fourth proportional to 21,193.91, 29,249 and 11,762.47 is: 16,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.91 : 29,249 = 11,762.47 : x
  2. Step 2: Convert to fraction form
    21,193.91/29,249 = 11,762.47/x
  3. Step 3: Cross multiply
    21,193.91x = 29,249 × 11,762.47
  4. Step 4: Simplify right side
    21,193.91x = 344,040,485.03
  5. Step 5: Solve for x
    x = 344,040,485.03/21,193.91
  6. Step 6: Final answer
    x = 16,232.99

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1.5x scale

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.