Home / 5,314.32-7,964.46-4,077

Finding the Fourth Proportional to 5,314.32, 7,964.46 and 4,077

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Solution

The fourth proportional to 5,314.32, 7,964.46 and 4,077 is: 6,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.32 : 7,964.46 = 4,077 : x
  2. Step 2: Convert to fraction form
    5,314.32/7,964.46 = 4,077/x
  3. Step 3: Cross multiply
    5,314.32x = 7,964.46 × 4,077
  4. Step 4: Simplify right side
    5,314.32x = 32,471,103.42
  5. Step 5: Solve for x
    x = 32,471,103.42/5,314.32
  6. Step 6: Final answer
    x = 6,110.11

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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.