Home / 7,434-11,142.36-3,046.14

Finding the Fourth Proportional to 7,434, 11,142.36 and 3,046.14

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Solution

The fourth proportional to 7,434, 11,142.36 and 3,046.14 is: 4,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434 : 11,142.36 = 3,046.14 : x
  2. Step 2: Convert to fraction form
    7,434/11,142.36 = 3,046.14/x
  3. Step 3: Cross multiply
    7,434x = 11,142.36 × 3,046.14
  4. Step 4: Simplify right side
    7,434x = 33,941,188.49
  5. Step 5: Solve for x
    x = 33,941,188.49/7,434
  6. Step 6: Final answer
    x = 4,565.67

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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.