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Finding the Fourth Proportional to 3,619.60, 5,428.84 and 1,429.84

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Solution

The fourth proportional to 3,619.60, 5,428.84 and 1,429.84 is: 2,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.60 : 5,428.84 = 1,429.84 : x
  2. Step 2: Convert to fraction form
    3,619.60/5,428.84 = 1,429.84/x
  3. Step 3: Cross multiply
    3,619.60x = 5,428.84 × 1,429.84
  4. Step 4: Simplify right side
    3,619.60x = 7,762,372.59
  5. Step 5: Solve for x
    x = 7,762,372.59/3,619.60
  6. Step 6: Final answer
    x = 2,144.54

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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.