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Finding the Fourth Proportional to 2,419.98, 3,628.34 and 1,553.82

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Solution

The fourth proportional to 2,419.98, 3,628.34 and 1,553.82 is: 2,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.98 : 3,628.34 = 1,553.82 : x
  2. Step 2: Convert to fraction form
    2,419.98/3,628.34 = 1,553.82/x
  3. Step 3: Cross multiply
    2,419.98x = 3,628.34 × 1,553.82
  4. Step 4: Simplify right side
    2,419.98x = 5,637,787.26
  5. Step 5: Solve for x
    x = 5,637,787.26/2,419.98
  6. Step 6: Final answer
    x = 2,329.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.