Home / 3,780.12-5,666.16-1,829.64

Finding the Fourth Proportional to 3,780.12, 5,666.16 and 1,829.64

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Solution

The fourth proportional to 3,780.12, 5,666.16 and 1,829.64 is: 2,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.12 : 5,666.16 = 1,829.64 : x
  2. Step 2: Convert to fraction form
    3,780.12/5,666.16 = 1,829.64/x
  3. Step 3: Cross multiply
    3,780.12x = 5,666.16 × 1,829.64
  4. Step 4: Simplify right side
    3,780.12x = 10,367,032.98
  5. Step 5: Solve for x
    x = 10,367,032.98/3,780.12
  6. Step 6: Final answer
    x = 2,742.51

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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.