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Finding the Fourth Proportional to 3,620.40, 5,428.40 and 1,426.60

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Solution

The fourth proportional to 3,620.40, 5,428.40 and 1,426.60 is: 2,139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.40 : 5,428.40 = 1,426.60 : x
  2. Step 2: Convert to fraction form
    3,620.40/5,428.40 = 1,426.60/x
  3. Step 3: Cross multiply
    3,620.40x = 5,428.40 × 1,426.60
  4. Step 4: Simplify right side
    3,620.40x = 7,744,155.44
  5. Step 5: Solve for x
    x = 7,744,155.44/3,620.40
  6. Step 6: Final answer
    x = 2,139.03

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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.