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Finding the Fourth Proportional to 3,829.48, 5,284.48 and 2,150.68

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Solution

The fourth proportional to 3,829.48, 5,284.48 and 2,150.68 is: 2,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.48 : 5,284.48 = 2,150.68 : x
  2. Step 2: Convert to fraction form
    3,829.48/5,284.48 = 2,150.68/x
  3. Step 3: Cross multiply
    3,829.48x = 5,284.48 × 2,150.68
  4. Step 4: Simplify right side
    3,829.48x = 11,365,225.45
  5. Step 5: Solve for x
    x = 11,365,225.45/3,829.48
  6. Step 6: Final answer
    x = 2,967.82

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1.5x scale

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.