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Finding the Fourth Proportional to 2,803.87, 3,841.31 and 2,698.77

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Solution

The fourth proportional to 2,803.87, 3,841.31 and 2,698.77 is: 3,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.87 : 3,841.31 = 2,698.77 : x
  2. Step 2: Convert to fraction form
    2,803.87/3,841.31 = 2,698.77/x
  3. Step 3: Cross multiply
    2,803.87x = 3,841.31 × 2,698.77
  4. Step 4: Simplify right side
    2,803.87x = 10,366,818.94
  5. Step 5: Solve for x
    x = 10,366,818.94/2,803.87
  6. Step 6: Final answer
    x = 3,697.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.