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Finding the Fourth Proportional to 6,425.70, 9,628.20 and 3,644.10

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Solution

The fourth proportional to 6,425.70, 9,628.20 and 3,644.10 is: 5,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.70 : 9,628.20 = 3,644.10 : x
  2. Step 2: Convert to fraction form
    6,425.70/9,628.20 = 3,644.10/x
  3. Step 3: Cross multiply
    6,425.70x = 9,628.20 × 3,644.10
  4. Step 4: Simplify right side
    6,425.70x = 35,086,123.62
  5. Step 5: Solve for x
    x = 35,086,123.62/6,425.70
  6. Step 6: Final answer
    x = 5,460.28

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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.