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Finding the Fourth Proportional to 8,431.74, 12,655.37 and 4,274.69

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Solution

The fourth proportional to 8,431.74, 12,655.37 and 4,274.69 is: 6,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.74 : 12,655.37 = 4,274.69 : x
  2. Step 2: Convert to fraction form
    8,431.74/12,655.37 = 4,274.69/x
  3. Step 3: Cross multiply
    8,431.74x = 12,655.37 × 4,274.69
  4. Step 4: Simplify right side
    8,431.74x = 54,097,793.85
  5. Step 5: Solve for x
    x = 54,097,793.85/8,431.74
  6. Step 6: Final answer
    x = 6,415.97

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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.