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Finding the Fourth Proportional to 2,740.42, 4,111.24 and 792.47

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Solution

The fourth proportional to 2,740.42, 4,111.24 and 792.47 is: 1,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.42 : 4,111.24 = 792.47 : x
  2. Step 2: Convert to fraction form
    2,740.42/4,111.24 = 792.47/x
  3. Step 3: Cross multiply
    2,740.42x = 4,111.24 × 792.47
  4. Step 4: Simplify right side
    2,740.42x = 3,258,040.68
  5. Step 5: Solve for x
    x = 3,258,040.68/2,740.42
  6. Step 6: Final answer
    x = 1,188.88

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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.