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Finding the Fourth Proportional to 3,277.65, 4,916.48 and 1,085.79

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Solution

The fourth proportional to 3,277.65, 4,916.48 and 1,085.79 is: 1,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.65 : 4,916.48 = 1,085.79 : x
  2. Step 2: Convert to fraction form
    3,277.65/4,916.48 = 1,085.79/x
  3. Step 3: Cross multiply
    3,277.65x = 4,916.48 × 1,085.79
  4. Step 4: Simplify right side
    3,277.65x = 5,338,234.81
  5. Step 5: Solve for x
    x = 5,338,234.81/3,277.65
  6. Step 6: Final answer
    x = 1,628.68

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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.