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Finding the Fourth Proportional to 35,760.78, 53,629.02 and 12,381.75

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Solution

The fourth proportional to 35,760.78, 53,629.02 and 12,381.75 is: 18,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,760.78 : 53,629.02 = 12,381.75 : x
  2. Step 2: Convert to fraction form
    35,760.78/53,629.02 = 12,381.75/x
  3. Step 3: Cross multiply
    35,760.78x = 53,629.02 × 12,381.75
  4. Step 4: Simplify right side
    35,760.78x = 664,021,118.39
  5. Step 5: Solve for x
    x = 664,021,118.39/35,760.78
  6. Step 6: Final answer
    x = 18,568.42

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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.