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Finding the Fourth Proportional to 2,007.83, 3,011.45 and 547.11

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Solution

The fourth proportional to 2,007.83, 3,011.45 and 547.11 is: 820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.83 : 3,011.45 = 547.11 : x
  2. Step 2: Convert to fraction form
    2,007.83/3,011.45 = 547.11/x
  3. Step 3: Cross multiply
    2,007.83x = 3,011.45 × 547.11
  4. Step 4: Simplify right side
    2,007.83x = 1,647,591.67
  5. Step 5: Solve for x
    x = 1,647,591.67/2,007.83
  6. Step 6: Final answer
    x = 820.58

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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.