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Finding the Fourth Proportional to 2,778.96, 4,163.81 and 1,955.50

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Solution

The fourth proportional to 2,778.96, 4,163.81 and 1,955.50 is: 2,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.96 : 4,163.81 = 1,955.50 : x
  2. Step 2: Convert to fraction form
    2,778.96/4,163.81 = 1,955.50/x
  3. Step 3: Cross multiply
    2,778.96x = 4,163.81 × 1,955.50
  4. Step 4: Simplify right side
    2,778.96x = 8,142,333.22
  5. Step 5: Solve for x
    x = 8,142,333.22/2,778.96
  6. Step 6: Final answer
    x = 2,929.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.