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Finding the Fourth Proportional to 2,522.17, 3,783.86 and 790.79

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Solution

The fourth proportional to 2,522.17, 3,783.86 and 790.79 is: 1,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.17 : 3,783.86 = 790.79 : x
  2. Step 2: Convert to fraction form
    2,522.17/3,783.86 = 790.79/x
  3. Step 3: Cross multiply
    2,522.17x = 3,783.86 × 790.79
  4. Step 4: Simplify right side
    2,522.17x = 2,992,247.12
  5. Step 5: Solve for x
    x = 2,992,247.12/2,522.17
  6. Step 6: Final answer
    x = 1,186.38

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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.