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Finding the Fourth Proportional to 2,578.68, 3,558.68 and 1,459.75

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Solution

The fourth proportional to 2,578.68, 3,558.68 and 1,459.75 is: 2,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.68 : 3,558.68 = 1,459.75 : x
  2. Step 2: Convert to fraction form
    2,578.68/3,558.68 = 1,459.75/x
  3. Step 3: Cross multiply
    2,578.68x = 3,558.68 × 1,459.75
  4. Step 4: Simplify right side
    2,578.68x = 5,194,783.13
  5. Step 5: Solve for x
    x = 5,194,783.13/2,578.68
  6. Step 6: Final answer
    x = 2,014.51

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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.