Home / 3,642-5,021.40-2,977.68

Finding the Fourth Proportional to 3,642, 5,021.40 and 2,977.68

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Solution

The fourth proportional to 3,642, 5,021.40 and 2,977.68 is: 4,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 5,021.40 = 2,977.68 : x
  2. Step 2: Convert to fraction form
    3,642/5,021.40 = 2,977.68/x
  3. Step 3: Cross multiply
    3,642x = 5,021.40 × 2,977.68
  4. Step 4: Simplify right side
    3,642x = 14,952,122.35
  5. Step 5: Solve for x
    x = 14,952,122.35/3,642
  6. Step 6: Final answer
    x = 4,105.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.