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Finding the Fourth Proportional to 13,729.89, 20,696.34 and 12,927.20

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Solution

The fourth proportional to 13,729.89, 20,696.34 and 12,927.20 is: 19,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.89 : 20,696.34 = 12,927.20 : x
  2. Step 2: Convert to fraction form
    13,729.89/20,696.34 = 12,927.20/x
  3. Step 3: Cross multiply
    13,729.89x = 20,696.34 × 12,927.20
  4. Step 4: Simplify right side
    13,729.89x = 267,545,726.45
  5. Step 5: Solve for x
    x = 267,545,726.45/13,729.89
  6. Step 6: Final answer
    x = 19,486.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.