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Finding the Fourth Proportional to 2,525.48, 3,787.90 and 794.12

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Solution

The fourth proportional to 2,525.48, 3,787.90 and 794.12 is: 1,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.48 : 3,787.90 = 794.12 : x
  2. Step 2: Convert to fraction form
    2,525.48/3,787.90 = 794.12/x
  3. Step 3: Cross multiply
    2,525.48x = 3,787.90 × 794.12
  4. Step 4: Simplify right side
    2,525.48x = 3,008,047.15
  5. Step 5: Solve for x
    x = 3,008,047.15/2,525.48
  6. Step 6: Final answer
    x = 1,191.08

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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.