Home / 7,159.46-10,741.42-3,214

Finding the Fourth Proportional to 7,159.46, 10,741.42 and 3,214

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Solution

The fourth proportional to 7,159.46, 10,741.42 and 3,214 is: 4,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.46 : 10,741.42 = 3,214 : x
  2. Step 2: Convert to fraction form
    7,159.46/10,741.42 = 3,214/x
  3. Step 3: Cross multiply
    7,159.46x = 10,741.42 × 3,214
  4. Step 4: Simplify right side
    7,159.46x = 34,522,923.88
  5. Step 5: Solve for x
    x = 34,522,923.88/7,159.46
  6. Step 6: Final answer
    x = 4,822.00

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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.