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Finding the Fourth Proportional to 2,007.95, 3,011.67 and 547.25

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Solution

The fourth proportional to 2,007.95, 3,011.67 and 547.25 is: 820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.95 : 3,011.67 = 547.25 : x
  2. Step 2: Convert to fraction form
    2,007.95/3,011.67 = 547.25/x
  3. Step 3: Cross multiply
    2,007.95x = 3,011.67 × 547.25
  4. Step 4: Simplify right side
    2,007.95x = 1,648,121.35
  5. Step 5: Solve for x
    x = 1,648,121.35/2,007.95
  6. Step 6: Final answer
    x = 820.80

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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.