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Finding the Fourth Proportional to 3,124.69, 4,684.72 and 1,891.81

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Solution

The fourth proportional to 3,124.69, 4,684.72 and 1,891.81 is: 2,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.69 : 4,684.72 = 1,891.81 : x
  2. Step 2: Convert to fraction form
    3,124.69/4,684.72 = 1,891.81/x
  3. Step 3: Cross multiply
    3,124.69x = 4,684.72 × 1,891.81
  4. Step 4: Simplify right side
    3,124.69x = 8,862,583.70
  5. Step 5: Solve for x
    x = 8,862,583.70/3,124.69
  6. Step 6: Final answer
    x = 2,836.31

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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.