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Finding the Fourth Proportional to 38,433, 57,658.02 and 11,782.68

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Solution

The fourth proportional to 38,433, 57,658.02 and 11,782.68 is: 17,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,433 : 57,658.02 = 11,782.68 : x
  2. Step 2: Convert to fraction form
    38,433/57,658.02 = 11,782.68/x
  3. Step 3: Cross multiply
    38,433x = 57,658.02 × 11,782.68
  4. Step 4: Simplify right side
    38,433x = 679,365,999.09
  5. Step 5: Solve for x
    x = 679,365,999.09/38,433
  6. Step 6: Final answer
    x = 17,676.63

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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.