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Finding the Fourth Proportional to 2,878.68, 3,965.58 and 1,992.96

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Solution

The fourth proportional to 2,878.68, 3,965.58 and 1,992.96 is: 2,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.68 : 3,965.58 = 1,992.96 : x
  2. Step 2: Convert to fraction form
    2,878.68/3,965.58 = 1,992.96/x
  3. Step 3: Cross multiply
    2,878.68x = 3,965.58 × 1,992.96
  4. Step 4: Simplify right side
    2,878.68x = 7,903,242.32
  5. Step 5: Solve for x
    x = 7,903,242.32/2,878.68
  6. Step 6: Final answer
    x = 2,745.44

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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.