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Finding the Fourth Proportional to 19,760.35, 29,640.37 and 8,065.37

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Solution

The fourth proportional to 19,760.35, 29,640.37 and 8,065.37 is: 12,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760.35 : 29,640.37 = 8,065.37 : x
  2. Step 2: Convert to fraction form
    19,760.35/29,640.37 = 8,065.37/x
  3. Step 3: Cross multiply
    19,760.35x = 29,640.37 × 8,065.37
  4. Step 4: Simplify right side
    19,760.35x = 239,060,362.46
  5. Step 5: Solve for x
    x = 239,060,362.46/19,760.35
  6. Step 6: Final answer
    x = 12,097.98

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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.