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Finding the Fourth Proportional to 3,675.69, 5,513.54 and 1,916.37

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Solution

The fourth proportional to 3,675.69, 5,513.54 and 1,916.37 is: 2,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.69 : 5,513.54 = 1,916.37 : x
  2. Step 2: Convert to fraction form
    3,675.69/5,513.54 = 1,916.37/x
  3. Step 3: Cross multiply
    3,675.69x = 5,513.54 × 1,916.37
  4. Step 4: Simplify right side
    3,675.69x = 10,565,973.07
  5. Step 5: Solve for x
    x = 10,565,973.07/3,675.69
  6. Step 6: Final answer
    x = 2,874.56

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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.