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Finding the Fourth Proportional to 19,676.40, 29,516.04 and 7,986.48

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Solution

The fourth proportional to 19,676.40, 29,516.04 and 7,986.48 is: 11,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.40 : 29,516.04 = 7,986.48 : x
  2. Step 2: Convert to fraction form
    19,676.40/29,516.04 = 7,986.48/x
  3. Step 3: Cross multiply
    19,676.40x = 29,516.04 × 7,986.48
  4. Step 4: Simplify right side
    19,676.40x = 235,729,263.14
  5. Step 5: Solve for x
    x = 235,729,263.14/19,676.40
  6. Step 6: Final answer
    x = 11,980.30

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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.