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Finding the Fourth Proportional to 2,059.87, 3,090.99 and 1,020.78

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Solution

The fourth proportional to 2,059.87, 3,090.99 and 1,020.78 is: 1,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.87 : 3,090.99 = 1,020.78 : x
  2. Step 2: Convert to fraction form
    2,059.87/3,090.99 = 1,020.78/x
  3. Step 3: Cross multiply
    2,059.87x = 3,090.99 × 1,020.78
  4. Step 4: Simplify right side
    2,059.87x = 3,155,220.77
  5. Step 5: Solve for x
    x = 3,155,220.77/2,059.87
  6. Step 6: Final answer
    x = 1,531.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.