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Finding the Fourth Proportional to 2,773.81, 4,160.78 and 693.79

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Solution

The fourth proportional to 2,773.81, 4,160.78 and 693.79 is: 1,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.81 : 4,160.78 = 693.79 : x
  2. Step 2: Convert to fraction form
    2,773.81/4,160.78 = 693.79/x
  3. Step 3: Cross multiply
    2,773.81x = 4,160.78 × 693.79
  4. Step 4: Simplify right side
    2,773.81x = 2,886,707.56
  5. Step 5: Solve for x
    x = 2,886,707.56/2,773.81
  6. Step 6: Final answer
    x = 1,040.70

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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.