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Finding the Fourth Proportional to 12,846.78, 19,242 and 7,901.37

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Solution

The fourth proportional to 12,846.78, 19,242 and 7,901.37 is: 11,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.78 : 19,242 = 7,901.37 : x
  2. Step 2: Convert to fraction form
    12,846.78/19,242 = 7,901.37/x
  3. Step 3: Cross multiply
    12,846.78x = 19,242 × 7,901.37
  4. Step 4: Simplify right side
    12,846.78x = 152,038,161.54
  5. Step 5: Solve for x
    x = 152,038,161.54/12,846.78
  6. Step 6: Final answer
    x = 11,834.73

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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.