Home / 4,212-6,314.76-2,261.52

Finding the Fourth Proportional to 4,212, 6,314.76 and 2,261.52

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Solution

The fourth proportional to 4,212, 6,314.76 and 2,261.52 is: 3,390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 6,314.76 = 2,261.52 : x
  2. Step 2: Convert to fraction form
    4,212/6,314.76 = 2,261.52/x
  3. Step 3: Cross multiply
    4,212x = 6,314.76 × 2,261.52
  4. Step 4: Simplify right side
    4,212x = 14,280,956.04
  5. Step 5: Solve for x
    x = 14,280,956.04/4,212
  6. Step 6: Final answer
    x = 3,390.54

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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.