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Finding the Fourth Proportional to 2,839.93, 3,919.06 and 1,580.96

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Solution

The fourth proportional to 2,839.93, 3,919.06 and 1,580.96 is: 2,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.93 : 3,919.06 = 1,580.96 : x
  2. Step 2: Convert to fraction form
    2,839.93/3,919.06 = 1,580.96/x
  3. Step 3: Cross multiply
    2,839.93x = 3,919.06 × 1,580.96
  4. Step 4: Simplify right side
    2,839.93x = 6,195,888.87
  5. Step 5: Solve for x
    x = 6,195,888.87/2,839.93
  6. Step 6: Final answer
    x = 2,181.71

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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.