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Finding the Fourth Proportional to 1,811.87, 2,509.79 and 1,774.96

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Solution

The fourth proportional to 1,811.87, 2,509.79 and 1,774.96 is: 2,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.87 : 2,509.79 = 1,774.96 : x
  2. Step 2: Convert to fraction form
    1,811.87/2,509.79 = 1,774.96/x
  3. Step 3: Cross multiply
    1,811.87x = 2,509.79 × 1,774.96
  4. Step 4: Simplify right side
    1,811.87x = 4,454,775.83
  5. Step 5: Solve for x
    x = 4,454,775.83/1,811.87
  6. Step 6: Final answer
    x = 2,458.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.