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Finding the Fourth Proportional to 1,294.81, 1,943.03 and 1,211.79

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Solution

The fourth proportional to 1,294.81, 1,943.03 and 1,211.79 is: 1,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.81 : 1,943.03 = 1,211.79 : x
  2. Step 2: Convert to fraction form
    1,294.81/1,943.03 = 1,211.79/x
  3. Step 3: Cross multiply
    1,294.81x = 1,943.03 × 1,211.79
  4. Step 4: Simplify right side
    1,294.81x = 2,354,544.32
  5. Step 5: Solve for x
    x = 2,354,544.32/1,294.81
  6. Step 6: Final answer
    x = 1,818.45

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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.