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Finding the Fourth Proportional to 38,054.25, 57,107.34 and 13,430.25

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Solution

The fourth proportional to 38,054.25, 57,107.34 and 13,430.25 is: 20,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,054.25 : 57,107.34 = 13,430.25 : x
  2. Step 2: Convert to fraction form
    38,054.25/57,107.34 = 13,430.25/x
  3. Step 3: Cross multiply
    38,054.25x = 57,107.34 × 13,430.25
  4. Step 4: Simplify right side
    38,054.25x = 766,965,853.04
  5. Step 5: Solve for x
    x = 766,965,853.04/38,054.25
  6. Step 6: Final answer
    x = 20,154.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.