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Finding the Fourth Proportional to 25,380.96, 38,073.36 and 7,852.56

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Solution

The fourth proportional to 25,380.96, 38,073.36 and 7,852.56 is: 11,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380.96 : 38,073.36 = 7,852.56 : x
  2. Step 2: Convert to fraction form
    25,380.96/38,073.36 = 7,852.56/x
  3. Step 3: Cross multiply
    25,380.96x = 38,073.36 × 7,852.56
  4. Step 4: Simplify right side
    25,380.96x = 298,973,343.80
  5. Step 5: Solve for x
    x = 298,973,343.80/25,380.96
  6. Step 6: Final answer
    x = 11,779.43

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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.