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Finding the Fourth Proportional to 1,419.95, 1,954.90 and 1,120.66

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Solution

The fourth proportional to 1,419.95, 1,954.90 and 1,120.66 is: 1,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.95 : 1,954.90 = 1,120.66 : x
  2. Step 2: Convert to fraction form
    1,419.95/1,954.90 = 1,120.66/x
  3. Step 3: Cross multiply
    1,419.95x = 1,954.90 × 1,120.66
  4. Step 4: Simplify right side
    1,419.95x = 2,190,778.23
  5. Step 5: Solve for x
    x = 2,190,778.23/1,419.95
  6. Step 6: Final answer
    x = 1,542.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.