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Finding the Fourth Proportional to 12,729.64, 19,073.94 and 6,889

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Solution

The fourth proportional to 12,729.64, 19,073.94 and 6,889 is: 10,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.64 : 19,073.94 = 6,889 : x
  2. Step 2: Convert to fraction form
    12,729.64/19,073.94 = 6,889/x
  3. Step 3: Cross multiply
    12,729.64x = 19,073.94 × 6,889
  4. Step 4: Simplify right side
    12,729.64x = 131,400,372.66
  5. Step 5: Solve for x
    x = 131,400,372.66/12,729.64
  6. Step 6: Final answer
    x = 10,322.40

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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.