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Finding the Fourth Proportional to 13,969, 19,277.22 and 8,381.80

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Solution

The fourth proportional to 13,969, 19,277.22 and 8,381.80 is: 11,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969 : 19,277.22 = 8,381.80 : x
  2. Step 2: Convert to fraction form
    13,969/19,277.22 = 8,381.80/x
  3. Step 3: Cross multiply
    13,969x = 19,277.22 × 8,381.80
  4. Step 4: Simplify right side
    13,969x = 161,577,802.60
  5. Step 5: Solve for x
    x = 161,577,802.60/13,969
  6. Step 6: Final answer
    x = 11,566.88

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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.