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Finding the Fourth Proportional to 2,011.60, 3,017.34 and 550.75

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Solution

The fourth proportional to 2,011.60, 3,017.34 and 550.75 is: 826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.60 : 3,017.34 = 550.75 : x
  2. Step 2: Convert to fraction form
    2,011.60/3,017.34 = 550.75/x
  3. Step 3: Cross multiply
    2,011.60x = 3,017.34 × 550.75
  4. Step 4: Simplify right side
    2,011.60x = 1,661,797.34
  5. Step 5: Solve for x
    x = 1,661,797.34/2,011.60
  6. Step 6: Final answer
    x = 826.11

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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.