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Finding the Fourth Proportional to 2,040.10, 3,059.64 and 984.88

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Solution

The fourth proportional to 2,040.10, 3,059.64 and 984.88 is: 1,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.10 : 3,059.64 = 984.88 : x
  2. Step 2: Convert to fraction form
    2,040.10/3,059.64 = 984.88/x
  3. Step 3: Cross multiply
    2,040.10x = 3,059.64 × 984.88
  4. Step 4: Simplify right side
    2,040.10x = 3,013,364.86
  5. Step 5: Solve for x
    x = 3,013,364.86/2,040.10
  6. Step 6: Final answer
    x = 1,477.06

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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.