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Finding the Fourth Proportional to 2,861.94, 3,950.01 and 1,683.84

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Solution

The fourth proportional to 2,861.94, 3,950.01 and 1,683.84 is: 2,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.94 : 3,950.01 = 1,683.84 : x
  2. Step 2: Convert to fraction form
    2,861.94/3,950.01 = 1,683.84/x
  3. Step 3: Cross multiply
    2,861.94x = 3,950.01 × 1,683.84
  4. Step 4: Simplify right side
    2,861.94x = 6,651,184.84
  5. Step 5: Solve for x
    x = 6,651,184.84/2,861.94
  6. Step 6: Final answer
    x = 2,324.01

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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.