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Finding the Fourth Proportional to 3,619.02, 5,428.22 and 1,671.24

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Solution

The fourth proportional to 3,619.02, 5,428.22 and 1,671.24 is: 2,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.02 : 5,428.22 = 1,671.24 : x
  2. Step 2: Convert to fraction form
    3,619.02/5,428.22 = 1,671.24/x
  3. Step 3: Cross multiply
    3,619.02x = 5,428.22 × 1,671.24
  4. Step 4: Simplify right side
    3,619.02x = 9,071,858.39
  5. Step 5: Solve for x
    x = 9,071,858.39/3,619.02
  6. Step 6: Final answer
    x = 2,506.72

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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.