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Finding the Fourth Proportional to 3,011.37, 4,516.61 and 820.28

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Solution

The fourth proportional to 3,011.37, 4,516.61 and 820.28 is: 1,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.37 : 4,516.61 = 820.28 : x
  2. Step 2: Convert to fraction form
    3,011.37/4,516.61 = 820.28/x
  3. Step 3: Cross multiply
    3,011.37x = 4,516.61 × 820.28
  4. Step 4: Simplify right side
    3,011.37x = 3,704,858.17
  5. Step 5: Solve for x
    x = 3,704,858.17/3,011.37
  6. Step 6: Final answer
    x = 1,230.29

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1.5x scale

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.