Home / 3,498-5,246.36-1,157.92

Finding the Fourth Proportional to 3,498, 5,246.36 and 1,157.92

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Solution

The fourth proportional to 3,498, 5,246.36 and 1,157.92 is: 1,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498 : 5,246.36 = 1,157.92 : x
  2. Step 2: Convert to fraction form
    3,498/5,246.36 = 1,157.92/x
  3. Step 3: Cross multiply
    3,498x = 5,246.36 × 1,157.92
  4. Step 4: Simplify right side
    3,498x = 6,074,865.17
  5. Step 5: Solve for x
    x = 6,074,865.17/3,498
  6. Step 6: Final answer
    x = 1,736.67

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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.