Home / 4,122-6,182.94-1,200.36

Finding the Fourth Proportional to 4,122, 6,182.94 and 1,200.36

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Solution

The fourth proportional to 4,122, 6,182.94 and 1,200.36 is: 1,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122 : 6,182.94 = 1,200.36 : x
  2. Step 2: Convert to fraction form
    4,122/6,182.94 = 1,200.36/x
  3. Step 3: Cross multiply
    4,122x = 6,182.94 × 1,200.36
  4. Step 4: Simplify right side
    4,122x = 7,421,753.86
  5. Step 5: Solve for x
    x = 7,421,753.86/4,122
  6. Step 6: Final answer
    x = 1,800.52

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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.