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Finding the Fourth Proportional to 2,000.76, 2,775.20 and 1,947.30

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Solution

The fourth proportional to 2,000.76, 2,775.20 and 1,947.30 is: 2,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.76 : 2,775.20 = 1,947.30 : x
  2. Step 2: Convert to fraction form
    2,000.76/2,775.20 = 1,947.30/x
  3. Step 3: Cross multiply
    2,000.76x = 2,775.20 × 1,947.30
  4. Step 4: Simplify right side
    2,000.76x = 5,404,146.96
  5. Step 5: Solve for x
    x = 5,404,146.96/2,000.76
  6. Step 6: Final answer
    x = 2,701.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.