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Finding the Fourth Proportional to 8,283.76, 12,408.73 and 6,892.63

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Solution

The fourth proportional to 8,283.76, 12,408.73 and 6,892.63 is: 10,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.76 : 12,408.73 = 6,892.63 : x
  2. Step 2: Convert to fraction form
    8,283.76/12,408.73 = 6,892.63/x
  3. Step 3: Cross multiply
    8,283.76x = 12,408.73 × 6,892.63
  4. Step 4: Simplify right side
    8,283.76x = 85,528,736.41
  5. Step 5: Solve for x
    x = 85,528,736.41/8,283.76
  6. Step 6: Final answer
    x = 10,324.87

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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.