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Finding the Fourth Proportional to 12,729.74, 19,070 and 7,166.18

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Solution

The fourth proportional to 12,729.74, 19,070 and 7,166.18 is: 10,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.74 : 19,070 = 7,166.18 : x
  2. Step 2: Convert to fraction form
    12,729.74/19,070 = 7,166.18/x
  3. Step 3: Cross multiply
    12,729.74x = 19,070 × 7,166.18
  4. Step 4: Simplify right side
    12,729.74x = 136,659,052.60
  5. Step 5: Solve for x
    x = 136,659,052.60/12,729.74
  6. Step 6: Final answer
    x = 10,735.42

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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.