Home / 2,556.96-3,830.50-2,141.16

Finding the Fourth Proportional to 2,556.96, 3,830.50 and 2,141.16

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Solution

The fourth proportional to 2,556.96, 3,830.50 and 2,141.16 is: 3,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.96 : 3,830.50 = 2,141.16 : x
  2. Step 2: Convert to fraction form
    2,556.96/3,830.50 = 2,141.16/x
  3. Step 3: Cross multiply
    2,556.96x = 3,830.50 × 2,141.16
  4. Step 4: Simplify right side
    2,556.96x = 8,201,713.38
  5. Step 5: Solve for x
    x = 8,201,713.38/2,556.96
  6. Step 6: Final answer
    x = 3,207.60

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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.