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Finding the Fourth Proportional to 2,813.70, 4,214.07 and 1,837.38

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Solution

The fourth proportional to 2,813.70, 4,214.07 and 1,837.38 is: 2,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.70 : 4,214.07 = 1,837.38 : x
  2. Step 2: Convert to fraction form
    2,813.70/4,214.07 = 1,837.38/x
  3. Step 3: Cross multiply
    2,813.70x = 4,214.07 × 1,837.38
  4. Step 4: Simplify right side
    2,813.70x = 7,742,847.94
  5. Step 5: Solve for x
    x = 7,742,847.94/2,813.70
  6. Step 6: Final answer
    x = 2,751.84

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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.