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Finding the Fourth Proportional to 25,435.84, 38,148 and 8,795.20

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Solution

The fourth proportional to 25,435.84, 38,148 and 8,795.20 is: 13,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.84 : 38,148 = 8,795.20 : x
  2. Step 2: Convert to fraction form
    25,435.84/38,148 = 8,795.20/x
  3. Step 3: Cross multiply
    25,435.84x = 38,148 × 8,795.20
  4. Step 4: Simplify right side
    25,435.84x = 335,519,289.60
  5. Step 5: Solve for x
    x = 335,519,289.60/25,435.84
  6. Step 6: Final answer
    x = 13,190.81

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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.