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Finding the Fourth Proportional to 4,489.79, 6,734.73 and 1,369.76

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Solution

The fourth proportional to 4,489.79, 6,734.73 and 1,369.76 is: 2,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.79 : 6,734.73 = 1,369.76 : x
  2. Step 2: Convert to fraction form
    4,489.79/6,734.73 = 1,369.76/x
  3. Step 3: Cross multiply
    4,489.79x = 6,734.73 × 1,369.76
  4. Step 4: Simplify right side
    4,489.79x = 9,224,930.09
  5. Step 5: Solve for x
    x = 9,224,930.09/4,489.79
  6. Step 6: Final answer
    x = 2,054.65

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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.