Home / 3,830.12-5,746.68-1,638.80

Finding the Fourth Proportional to 3,830.12, 5,746.68 and 1,638.80

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Solution

The fourth proportional to 3,830.12, 5,746.68 and 1,638.80 is: 2,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.12 : 5,746.68 = 1,638.80 : x
  2. Step 2: Convert to fraction form
    3,830.12/5,746.68 = 1,638.80/x
  3. Step 3: Cross multiply
    3,830.12x = 5,746.68 × 1,638.80
  4. Step 4: Simplify right side
    3,830.12x = 9,417,659.18
  5. Step 5: Solve for x
    x = 9,417,659.18/3,830.12
  6. Step 6: Final answer
    x = 2,458.84

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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.