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Finding the Fourth Proportional to 2,868, 3,957.23 and 1,688.64

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Solution

The fourth proportional to 2,868, 3,957.23 and 1,688.64 is: 2,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868 : 3,957.23 = 1,688.64 : x
  2. Step 2: Convert to fraction form
    2,868/3,957.23 = 1,688.64/x
  3. Step 3: Cross multiply
    2,868x = 3,957.23 × 1,688.64
  4. Step 4: Simplify right side
    2,868x = 6,682,336.87
  5. Step 5: Solve for x
    x = 6,682,336.87/2,868
  6. Step 6: Final answer
    x = 2,329.96

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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.