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Finding the Fourth Proportional to 7,242.12, 9,993.78 and 4,447.56

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Solution

The fourth proportional to 7,242.12, 9,993.78 and 4,447.56 is: 6,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.12 : 9,993.78 = 4,447.56 : x
  2. Step 2: Convert to fraction form
    7,242.12/9,993.78 = 4,447.56/x
  3. Step 3: Cross multiply
    7,242.12x = 9,993.78 × 4,447.56
  4. Step 4: Simplify right side
    7,242.12x = 44,447,936.18
  5. Step 5: Solve for x
    x = 44,447,936.18/7,242.12
  6. Step 6: Final answer
    x = 6,137.42

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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.