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Finding the Fourth Proportional to 2,740.54, 4,111.45 and 792.69

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Solution

The fourth proportional to 2,740.54, 4,111.45 and 792.69 is: 1,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.54 : 4,111.45 = 792.69 : x
  2. Step 2: Convert to fraction form
    2,740.54/4,111.45 = 792.69/x
  3. Step 3: Cross multiply
    2,740.54x = 4,111.45 × 792.69
  4. Step 4: Simplify right side
    2,740.54x = 3,259,103.32
  5. Step 5: Solve for x
    x = 3,259,103.32/2,740.54
  6. Step 6: Final answer
    x = 1,189.22

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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.