Home / 3,829.90-5,742.16-1,457.62

Finding the Fourth Proportional to 3,829.90, 5,742.16 and 1,457.62

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Solution

The fourth proportional to 3,829.90, 5,742.16 and 1,457.62 is: 2,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.90 : 5,742.16 = 1,457.62 : x
  2. Step 2: Convert to fraction form
    3,829.90/5,742.16 = 1,457.62/x
  3. Step 3: Cross multiply
    3,829.90x = 5,742.16 × 1,457.62
  4. Step 4: Simplify right side
    3,829.90x = 8,369,887.26
  5. Step 5: Solve for x
    x = 8,369,887.26/3,829.90
  6. Step 6: Final answer
    x = 2,185.41

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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.