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Finding the Fourth Proportional to 38,070, 57,107.70 and 11,771.33

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Solution

The fourth proportional to 38,070, 57,107.70 and 11,771.33 is: 17,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,070 : 57,107.70 = 11,771.33 : x
  2. Step 2: Convert to fraction form
    38,070/57,107.70 = 11,771.33/x
  3. Step 3: Cross multiply
    38,070x = 57,107.70 × 11,771.33
  4. Step 4: Simplify right side
    38,070x = 672,233,296.70
  5. Step 5: Solve for x
    x = 672,233,296.70/38,070
  6. Step 6: Final answer
    x = 17,657.82

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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.