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Finding the Fourth Proportional to 2,050.87, 3,077.03 and 1,280.47

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Solution

The fourth proportional to 2,050.87, 3,077.03 and 1,280.47 is: 1,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.87 : 3,077.03 = 1,280.47 : x
  2. Step 2: Convert to fraction form
    2,050.87/3,077.03 = 1,280.47/x
  3. Step 3: Cross multiply
    2,050.87x = 3,077.03 × 1,280.47
  4. Step 4: Simplify right side
    2,050.87x = 3,940,038.20
  5. Step 5: Solve for x
    x = 3,940,038.20/2,050.87
  6. Step 6: Final answer
    x = 1,921.15

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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.