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Finding the Fourth Proportional to 2,795.96, 3,858.20 and 1,536.98

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Solution

The fourth proportional to 2,795.96, 3,858.20 and 1,536.98 is: 2,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.96 : 3,858.20 = 1,536.98 : x
  2. Step 2: Convert to fraction form
    2,795.96/3,858.20 = 1,536.98/x
  3. Step 3: Cross multiply
    2,795.96x = 3,858.20 × 1,536.98
  4. Step 4: Simplify right side
    2,795.96x = 5,929,976.24
  5. Step 5: Solve for x
    x = 5,929,976.24/2,795.96
  6. Step 6: Final answer
    x = 2,120.91

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1.5x scale

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.