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Finding the Fourth Proportional to 38,047, 57,096.42 and 13,423

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Solution

The fourth proportional to 38,047, 57,096.42 and 13,423 is: 20,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047 : 57,096.42 = 13,423 : x
  2. Step 2: Convert to fraction form
    38,047/57,096.42 = 13,423/x
  3. Step 3: Cross multiply
    38,047x = 57,096.42 × 13,423
  4. Step 4: Simplify right side
    38,047x = 766,405,245.66
  5. Step 5: Solve for x
    x = 766,405,245.66/38,047
  6. Step 6: Final answer
    x = 20,143.64

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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.