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Finding the Fourth Proportional to 8,732.70, 13,086.09 and 8,434.62

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Solution

The fourth proportional to 8,732.70, 13,086.09 and 8,434.62 is: 12,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.70 : 13,086.09 = 8,434.62 : x
  2. Step 2: Convert to fraction form
    8,732.70/13,086.09 = 8,434.62/x
  3. Step 3: Cross multiply
    8,732.70x = 13,086.09 × 8,434.62
  4. Step 4: Simplify right side
    8,732.70x = 110,376,196.44
  5. Step 5: Solve for x
    x = 110,376,196.44/8,732.70
  6. Step 6: Final answer
    x = 12,639.41

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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.