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Finding the Fourth Proportional to 3,076.30, 4,610.02 and 1,320.85

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Solution

The fourth proportional to 3,076.30, 4,610.02 and 1,320.85 is: 1,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.30 : 4,610.02 = 1,320.85 : x
  2. Step 2: Convert to fraction form
    3,076.30/4,610.02 = 1,320.85/x
  3. Step 3: Cross multiply
    3,076.30x = 4,610.02 × 1,320.85
  4. Step 4: Simplify right side
    3,076.30x = 6,089,140.60
  5. Step 5: Solve for x
    x = 6,089,140.60/3,076.30
  6. Step 6: Final answer
    x = 1,979.37

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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.