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Finding the Fourth Proportional to 2,428.98, 3,640.28 and 1,764.09

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Solution

The fourth proportional to 2,428.98, 3,640.28 and 1,764.09 is: 2,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.98 : 3,640.28 = 1,764.09 : x
  2. Step 2: Convert to fraction form
    2,428.98/3,640.28 = 1,764.09/x
  3. Step 3: Cross multiply
    2,428.98x = 3,640.28 × 1,764.09
  4. Step 4: Simplify right side
    2,428.98x = 6,421,772.72
  5. Step 5: Solve for x
    x = 6,421,772.72/2,428.98
  6. Step 6: Final answer
    x = 2,643.81

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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.