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Finding the Fourth Proportional to 2,076.81, 3,114.60 and 1,152.82

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Solution

The fourth proportional to 2,076.81, 3,114.60 and 1,152.82 is: 1,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.81 : 3,114.60 = 1,152.82 : x
  2. Step 2: Convert to fraction form
    2,076.81/3,114.60 = 1,152.82/x
  3. Step 3: Cross multiply
    2,076.81x = 3,114.60 × 1,152.82
  4. Step 4: Simplify right side
    2,076.81x = 3,590,573.17
  5. Step 5: Solve for x
    x = 3,590,573.17/2,076.81
  6. Step 6: Final answer
    x = 1,728.89

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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.