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Finding the Fourth Proportional to 3,672.80, 5,512.26 and 1,826

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Solution

The fourth proportional to 3,672.80, 5,512.26 and 1,826 is: 2,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.80 : 5,512.26 = 1,826 : x
  2. Step 2: Convert to fraction form
    3,672.80/5,512.26 = 1,826/x
  3. Step 3: Cross multiply
    3,672.80x = 5,512.26 × 1,826
  4. Step 4: Simplify right side
    3,672.80x = 10,065,386.76
  5. Step 5: Solve for x
    x = 10,065,386.76/3,672.80
  6. Step 6: Final answer
    x = 2,740.52

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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.