Home / 31,200.82-46,796.64-10,142.78

Finding the Fourth Proportional to 31,200.82, 46,796.64 and 10,142.78

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Solution

The fourth proportional to 31,200.82, 46,796.64 and 10,142.78 is: 15,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.82 : 46,796.64 = 10,142.78 : x
  2. Step 2: Convert to fraction form
    31,200.82/46,796.64 = 10,142.78/x
  3. Step 3: Cross multiply
    31,200.82x = 46,796.64 × 10,142.78
  4. Step 4: Simplify right side
    31,200.82x = 474,647,752.24
  5. Step 5: Solve for x
    x = 474,647,752.24/31,200.82
  6. Step 6: Final answer
    x = 15,212.67

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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.