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Finding the Fourth Proportional to 2,578.68, 3,558.06 and 1,584.12

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Solution

The fourth proportional to 2,578.68, 3,558.06 and 1,584.12 is: 2,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.68 : 3,558.06 = 1,584.12 : x
  2. Step 2: Convert to fraction form
    2,578.68/3,558.06 = 1,584.12/x
  3. Step 3: Cross multiply
    2,578.68x = 3,558.06 × 1,584.12
  4. Step 4: Simplify right side
    2,578.68x = 5,636,394.01
  5. Step 5: Solve for x
    x = 5,636,394.01/2,578.68
  6. Step 6: Final answer
    x = 2,185.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.