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Finding the Fourth Proportional to 1,418.89, 1,955.93 and 1,119.62

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Solution

The fourth proportional to 1,418.89, 1,955.93 and 1,119.62 is: 1,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.89 : 1,955.93 = 1,119.62 : x
  2. Step 2: Convert to fraction form
    1,418.89/1,955.93 = 1,119.62/x
  3. Step 3: Cross multiply
    1,418.89x = 1,955.93 × 1,119.62
  4. Step 4: Simplify right side
    1,418.89x = 2,189,888.57
  5. Step 5: Solve for x
    x = 2,189,888.57/1,418.89
  6. Step 6: Final answer
    x = 1,543.39

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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.