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Finding the Fourth Proportional to 2,386.87, 3,574.73 and 1,834.65

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Solution

The fourth proportional to 2,386.87, 3,574.73 and 1,834.65 is: 2,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.87 : 3,574.73 = 1,834.65 : x
  2. Step 2: Convert to fraction form
    2,386.87/3,574.73 = 1,834.65/x
  3. Step 3: Cross multiply
    2,386.87x = 3,574.73 × 1,834.65
  4. Step 4: Simplify right side
    2,386.87x = 6,558,382.98
  5. Step 5: Solve for x
    x = 6,558,382.98/2,386.87
  6. Step 6: Final answer
    x = 2,747.69

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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.