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Finding the Fourth Proportional to 3,992.34, 5,509.04 and 2,224.11

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Solution

The fourth proportional to 3,992.34, 5,509.04 and 2,224.11 is: 3,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.34 : 5,509.04 = 2,224.11 : x
  2. Step 2: Convert to fraction form
    3,992.34/5,509.04 = 2,224.11/x
  3. Step 3: Cross multiply
    3,992.34x = 5,509.04 × 2,224.11
  4. Step 4: Simplify right side
    3,992.34x = 12,252,699.83
  5. Step 5: Solve for x
    x = 12,252,699.83/3,992.34
  6. Step 6: Final answer
    x = 3,069.05

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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.