Home / 3,830.10-5,740.94-1,640.12

Finding the Fourth Proportional to 3,830.10, 5,740.94 and 1,640.12

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Solution

The fourth proportional to 3,830.10, 5,740.94 and 1,640.12 is: 2,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.10 : 5,740.94 = 1,640.12 : x
  2. Step 2: Convert to fraction form
    3,830.10/5,740.94 = 1,640.12/x
  3. Step 3: Cross multiply
    3,830.10x = 5,740.94 × 1,640.12
  4. Step 4: Simplify right side
    3,830.10x = 9,415,830.51
  5. Step 5: Solve for x
    x = 9,415,830.51/3,830.10
  6. Step 6: Final answer
    x = 2,458.38

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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.