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Finding the Fourth Proportional to 2,578.56, 3,555.96 and 1,739.40

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Solution

The fourth proportional to 2,578.56, 3,555.96 and 1,739.40 is: 2,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.56 : 3,555.96 = 1,739.40 : x
  2. Step 2: Convert to fraction form
    2,578.56/3,555.96 = 1,739.40/x
  3. Step 3: Cross multiply
    2,578.56x = 3,555.96 × 1,739.40
  4. Step 4: Simplify right side
    2,578.56x = 6,185,236.82
  5. Step 5: Solve for x
    x = 6,185,236.82/2,578.56
  6. Step 6: Final answer
    x = 2,398.72

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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.