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Finding the Fourth Proportional to 38,057, 57,085.68 and 13,433

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Solution

The fourth proportional to 38,057, 57,085.68 and 13,433 is: 20,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057 : 57,085.68 = 13,433 : x
  2. Step 2: Convert to fraction form
    38,057/57,085.68 = 13,433/x
  3. Step 3: Cross multiply
    38,057x = 57,085.68 × 13,433
  4. Step 4: Simplify right side
    38,057x = 766,831,939.44
  5. Step 5: Solve for x
    x = 766,831,939.44/38,057
  6. Step 6: Final answer
    x = 20,149.56

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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.