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Finding the Fourth Proportional to 7,056.42, 9,738.03 and 3,912.84

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Solution

The fourth proportional to 7,056.42, 9,738.03 and 3,912.84 is: 5,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.42 : 9,738.03 = 3,912.84 : x
  2. Step 2: Convert to fraction form
    7,056.42/9,738.03 = 3,912.84/x
  3. Step 3: Cross multiply
    7,056.42x = 9,738.03 × 3,912.84
  4. Step 4: Simplify right side
    7,056.42x = 38,103,353.31
  5. Step 5: Solve for x
    x = 38,103,353.31/7,056.42
  6. Step 6: Final answer
    x = 5,399.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.