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Finding the Fourth Proportional to 6,102.70, 9,141.21 and 3,880.40

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Solution

The fourth proportional to 6,102.70, 9,141.21 and 3,880.40 is: 5,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.70 : 9,141.21 = 3,880.40 : x
  2. Step 2: Convert to fraction form
    6,102.70/9,141.21 = 3,880.40/x
  3. Step 3: Cross multiply
    6,102.70x = 9,141.21 × 3,880.40
  4. Step 4: Simplify right side
    6,102.70x = 35,471,505.58
  5. Step 5: Solve for x
    x = 35,471,505.58/6,102.70
  6. Step 6: Final answer
    x = 5,812.43

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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.