Home / 3,829.51-5,744.88-1,638.25

Finding the Fourth Proportional to 3,829.51, 5,744.88 and 1,638.25

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Solution

The fourth proportional to 3,829.51, 5,744.88 and 1,638.25 is: 2,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.51 : 5,744.88 = 1,638.25 : x
  2. Step 2: Convert to fraction form
    3,829.51/5,744.88 = 1,638.25/x
  3. Step 3: Cross multiply
    3,829.51x = 5,744.88 × 1,638.25
  4. Step 4: Simplify right side
    3,829.51x = 9,411,549.66
  5. Step 5: Solve for x
    x = 9,411,549.66/3,829.51
  6. Step 6: Final answer
    x = 2,457.64

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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.