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Finding the Fourth Proportional to 3,300, 4,553.78 and 1,807.94

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Solution

The fourth proportional to 3,300, 4,553.78 and 1,807.94 is: 2,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300 : 4,553.78 = 1,807.94 : x
  2. Step 2: Convert to fraction form
    3,300/4,553.78 = 1,807.94/x
  3. Step 3: Cross multiply
    3,300x = 4,553.78 × 1,807.94
  4. Step 4: Simplify right side
    3,300x = 8,232,929.20
  5. Step 5: Solve for x
    x = 8,232,929.20/3,300
  6. Step 6: Final answer
    x = 2,494.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.