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Finding the Fourth Proportional to 2,011.68, 3,017.30 and 550.94

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Solution

The fourth proportional to 2,011.68, 3,017.30 and 550.94 is: 826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.68 : 3,017.30 = 550.94 : x
  2. Step 2: Convert to fraction form
    2,011.68/3,017.30 = 550.94/x
  3. Step 3: Cross multiply
    2,011.68x = 3,017.30 × 550.94
  4. Step 4: Simplify right side
    2,011.68x = 1,662,351.26
  5. Step 5: Solve for x
    x = 1,662,351.26/2,011.68
  6. Step 6: Final answer
    x = 826.35

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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.