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Finding the Fourth Proportional to 2,062, 3,090.19 and 950.77

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Solution

The fourth proportional to 2,062, 3,090.19 and 950.77 is: 1,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062 : 3,090.19 = 950.77 : x
  2. Step 2: Convert to fraction form
    2,062/3,090.19 = 950.77/x
  3. Step 3: Cross multiply
    2,062x = 3,090.19 × 950.77
  4. Step 4: Simplify right side
    2,062x = 2,938,059.95
  5. Step 5: Solve for x
    x = 2,938,059.95/2,062
  6. Step 6: Final answer
    x = 1,424.86

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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.