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Finding the Fourth Proportional to 21,177, 29,224.40 and 11,745.59

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Solution

The fourth proportional to 21,177, 29,224.40 and 11,745.59 is: 16,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177 : 29,224.40 = 11,745.59 : x
  2. Step 2: Convert to fraction form
    21,177/29,224.40 = 11,745.59/x
  3. Step 3: Cross multiply
    21,177x = 29,224.40 × 11,745.59
  4. Step 4: Simplify right side
    21,177x = 343,257,615.55
  5. Step 5: Solve for x
    x = 343,257,615.55/21,177
  6. Step 6: Final answer
    x = 16,208.98

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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.