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Finding the Fourth Proportional to 4,744.72, 7,115.64 and 1,666

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Solution

The fourth proportional to 4,744.72, 7,115.64 and 1,666 is: 2,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.72 : 7,115.64 = 1,666 : x
  2. Step 2: Convert to fraction form
    4,744.72/7,115.64 = 1,666/x
  3. Step 3: Cross multiply
    4,744.72x = 7,115.64 × 1,666
  4. Step 4: Simplify right side
    4,744.72x = 11,854,656.24
  5. Step 5: Solve for x
    x = 11,854,656.24/4,744.72
  6. Step 6: Final answer
    x = 2,498.49

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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.