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Finding the Fourth Proportional to 10,942.70, 16,383.05 and 8,506.02

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Solution

The fourth proportional to 10,942.70, 16,383.05 and 8,506.02 is: 12,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.70 : 16,383.05 = 8,506.02 : x
  2. Step 2: Convert to fraction form
    10,942.70/16,383.05 = 8,506.02/x
  3. Step 3: Cross multiply
    10,942.70x = 16,383.05 × 8,506.02
  4. Step 4: Simplify right side
    10,942.70x = 139,354,478.89
  5. Step 5: Solve for x
    x = 139,354,478.89/10,942.70
  6. Step 6: Final answer
    x = 12,734.93

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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.