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Finding the Fourth Proportional to 7,424, 10,245.14 and 4,112

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Solution

The fourth proportional to 7,424, 10,245.14 and 4,112 is: 5,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424 : 10,245.14 = 4,112 : x
  2. Step 2: Convert to fraction form
    7,424/10,245.14 = 4,112/x
  3. Step 3: Cross multiply
    7,424x = 10,245.14 × 4,112
  4. Step 4: Simplify right side
    7,424x = 42,128,015.68
  5. Step 5: Solve for x
    x = 42,128,015.68/7,424
  6. Step 6: Final answer
    x = 5,674.57

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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.