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Finding the Fourth Proportional to 2,863.60, 3,950.72 and 1,684.67

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Solution

The fourth proportional to 2,863.60, 3,950.72 and 1,684.67 is: 2,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.60 : 3,950.72 = 1,684.67 : x
  2. Step 2: Convert to fraction form
    2,863.60/3,950.72 = 1,684.67/x
  3. Step 3: Cross multiply
    2,863.60x = 3,950.72 × 1,684.67
  4. Step 4: Simplify right side
    2,863.60x = 6,655,680.41
  5. Step 5: Solve for x
    x = 6,655,680.41/2,863.60
  6. Step 6: Final answer
    x = 2,324.23

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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.