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Finding the Fourth Proportional to 3,113.69, 4,296.74 and 1,786.41

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Solution

The fourth proportional to 3,113.69, 4,296.74 and 1,786.41 is: 2,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.69 : 4,296.74 = 1,786.41 : x
  2. Step 2: Convert to fraction form
    3,113.69/4,296.74 = 1,786.41/x
  3. Step 3: Cross multiply
    3,113.69x = 4,296.74 × 1,786.41
  4. Step 4: Simplify right side
    3,113.69x = 7,675,730.37
  5. Step 5: Solve for x
    x = 7,675,730.37/3,113.69
  6. Step 6: Final answer
    x = 2,465.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.