Home / 3,830.78-5,744.18-1,365.24

Finding the Fourth Proportional to 3,830.78, 5,744.18 and 1,365.24

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Solution

The fourth proportional to 3,830.78, 5,744.18 and 1,365.24 is: 2,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.78 : 5,744.18 = 1,365.24 : x
  2. Step 2: Convert to fraction form
    3,830.78/5,744.18 = 1,365.24/x
  3. Step 3: Cross multiply
    3,830.78x = 5,744.18 × 1,365.24
  4. Step 4: Simplify right side
    3,830.78x = 7,842,177.48
  5. Step 5: Solve for x
    x = 7,842,177.48/3,830.78
  6. Step 6: Final answer
    x = 2,047.15

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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.