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Finding the Fourth Proportional to 3,718, 5,579.16 and 1,666

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Solution

The fourth proportional to 3,718, 5,579.16 and 1,666 is: 2,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718 : 5,579.16 = 1,666 : x
  2. Step 2: Convert to fraction form
    3,718/5,579.16 = 1,666/x
  3. Step 3: Cross multiply
    3,718x = 5,579.16 × 1,666
  4. Step 4: Simplify right side
    3,718x = 9,294,880.56
  5. Step 5: Solve for x
    x = 9,294,880.56/3,718
  6. Step 6: Final answer
    x = 2,499.97

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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.