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Finding the Fourth Proportional to 3,766.63, 5,651.12 and 1,688.41

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Solution

The fourth proportional to 3,766.63, 5,651.12 and 1,688.41 is: 2,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.63 : 5,651.12 = 1,688.41 : x
  2. Step 2: Convert to fraction form
    3,766.63/5,651.12 = 1,688.41/x
  3. Step 3: Cross multiply
    3,766.63x = 5,651.12 × 1,688.41
  4. Step 4: Simplify right side
    3,766.63x = 9,541,407.52
  5. Step 5: Solve for x
    x = 9,541,407.52/3,766.63
  6. Step 6: Final answer
    x = 2,533.14

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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.