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Finding the Fourth Proportional to 2,578.90, 3,558.90 and 1,459.84

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Solution

The fourth proportional to 2,578.90, 3,558.90 and 1,459.84 is: 2,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.90 : 3,558.90 = 1,459.84 : x
  2. Step 2: Convert to fraction form
    2,578.90/3,558.90 = 1,459.84/x
  3. Step 3: Cross multiply
    2,578.90x = 3,558.90 × 1,459.84
  4. Step 4: Simplify right side
    2,578.90x = 5,195,424.58
  5. Step 5: Solve for x
    x = 5,195,424.58/2,578.90
  6. Step 6: Final answer
    x = 2,014.59

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Why These Related Problems?

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