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Finding the Fourth Proportional to 6,458.70, 9,676.02 and 5,425.41

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Solution

The fourth proportional to 6,458.70, 9,676.02 and 5,425.41 is: 8,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.70 : 9,676.02 = 5,425.41 : x
  2. Step 2: Convert to fraction form
    6,458.70/9,676.02 = 5,425.41/x
  3. Step 3: Cross multiply
    6,458.70x = 9,676.02 × 5,425.41
  4. Step 4: Simplify right side
    6,458.70x = 52,496,375.67
  5. Step 5: Solve for x
    x = 52,496,375.67/6,458.70
  6. Step 6: Final answer
    x = 8,128.01

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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.