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Finding the Fourth Proportional to 7,148.56, 10,725.90 and 2,989.54

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Solution

The fourth proportional to 7,148.56, 10,725.90 and 2,989.54 is: 4,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.56 : 10,725.90 = 2,989.54 : x
  2. Step 2: Convert to fraction form
    7,148.56/10,725.90 = 2,989.54/x
  3. Step 3: Cross multiply
    7,148.56x = 10,725.90 × 2,989.54
  4. Step 4: Simplify right side
    7,148.56x = 32,065,507.09
  5. Step 5: Solve for x
    x = 32,065,507.09/7,148.56
  6. Step 6: Final answer
    x = 4,485.59

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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.