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Finding the Fourth Proportional to 3,666, 5,498.84 and 1,816.40

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Solution

The fourth proportional to 3,666, 5,498.84 and 1,816.40 is: 2,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666 : 5,498.84 = 1,816.40 : x
  2. Step 2: Convert to fraction form
    3,666/5,498.84 = 1,816.40/x
  3. Step 3: Cross multiply
    3,666x = 5,498.84 × 1,816.40
  4. Step 4: Simplify right side
    3,666x = 9,988,092.98
  5. Step 5: Solve for x
    x = 9,988,092.98/3,666
  6. Step 6: Final answer
    x = 2,724.52

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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.