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Finding the Fourth Proportional to 7,149, 10,724.88 and 3,453.78

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Solution

The fourth proportional to 7,149, 10,724.88 and 3,453.78 is: 5,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149 : 10,724.88 = 3,453.78 : x
  2. Step 2: Convert to fraction form
    7,149/10,724.88 = 3,453.78/x
  3. Step 3: Cross multiply
    7,149x = 10,724.88 × 3,453.78
  4. Step 4: Simplify right side
    7,149x = 37,041,376.05
  5. Step 5: Solve for x
    x = 37,041,376.05/7,149
  6. Step 6: Final answer
    x = 5,181.34

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1.5x scale

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.