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Finding the Fourth Proportional to 3,854.99, 5,776.42 and 2,979.63

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Solution

The fourth proportional to 3,854.99, 5,776.42 and 2,979.63 is: 4,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.99 : 5,776.42 = 2,979.63 : x
  2. Step 2: Convert to fraction form
    3,854.99/5,776.42 = 2,979.63/x
  3. Step 3: Cross multiply
    3,854.99x = 5,776.42 × 2,979.63
  4. Step 4: Simplify right side
    3,854.99x = 17,211,565.21
  5. Step 5: Solve for x
    x = 17,211,565.21/3,854.99
  6. Step 6: Final answer
    x = 4,464.76

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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.