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Finding the Fourth Proportional to 1,855.05, 2,559.92 and 1,015.74

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Solution

The fourth proportional to 1,855.05, 2,559.92 and 1,015.74 is: 1,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.05 : 2,559.92 = 1,015.74 : x
  2. Step 2: Convert to fraction form
    1,855.05/2,559.92 = 1,015.74/x
  3. Step 3: Cross multiply
    1,855.05x = 2,559.92 × 1,015.74
  4. Step 4: Simplify right side
    1,855.05x = 2,600,198.46
  5. Step 5: Solve for x
    x = 2,600,198.46/1,855.05
  6. Step 6: Final answer
    x = 1,401.68

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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.