Home / 3,829.56-5,744.13-1,638.51

Finding the Fourth Proportional to 3,829.56, 5,744.13 and 1,638.51

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Solution

The fourth proportional to 3,829.56, 5,744.13 and 1,638.51 is: 2,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.56 : 5,744.13 = 1,638.51 : x
  2. Step 2: Convert to fraction form
    3,829.56/5,744.13 = 1,638.51/x
  3. Step 3: Cross multiply
    3,829.56x = 5,744.13 × 1,638.51
  4. Step 4: Simplify right side
    3,829.56x = 9,411,814.45
  5. Step 5: Solve for x
    x = 9,411,814.45/3,829.56
  6. Step 6: Final answer
    x = 2,457.68

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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.