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Finding the Fourth Proportional to 38,016.50, 57,032.34 and 11,720.12

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Solution

The fourth proportional to 38,016.50, 57,032.34 and 11,720.12 is: 17,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016.50 : 57,032.34 = 11,720.12 : x
  2. Step 2: Convert to fraction form
    38,016.50/57,032.34 = 11,720.12/x
  3. Step 3: Cross multiply
    38,016.50x = 57,032.34 × 11,720.12
  4. Step 4: Simplify right side
    38,016.50x = 668,425,868.68
  5. Step 5: Solve for x
    x = 668,425,868.68/38,016.50
  6. Step 6: Final answer
    x = 17,582.52

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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.