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Finding the Fourth Proportional to 3,992.09, 5,509.10 and 2,398.77

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Solution

The fourth proportional to 3,992.09, 5,509.10 and 2,398.77 is: 3,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.09 : 5,509.10 = 2,398.77 : x
  2. Step 2: Convert to fraction form
    3,992.09/5,509.10 = 2,398.77/x
  3. Step 3: Cross multiply
    3,992.09x = 5,509.10 × 2,398.77
  4. Step 4: Simplify right side
    3,992.09x = 13,215,037.60
  5. Step 5: Solve for x
    x = 13,215,037.60/3,992.09
  6. Step 6: Final answer
    x = 3,310.30

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1.5x scale

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.