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Finding the Fourth Proportional to 8,676.34, 12,946.34 and 8,147.36

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Solution

The fourth proportional to 8,676.34, 12,946.34 and 8,147.36 is: 12,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.34 : 12,946.34 = 8,147.36 : x
  2. Step 2: Convert to fraction form
    8,676.34/12,946.34 = 8,147.36/x
  3. Step 3: Cross multiply
    8,676.34x = 12,946.34 × 8,147.36
  4. Step 4: Simplify right side
    8,676.34x = 105,478,545.40
  5. Step 5: Solve for x
    x = 105,478,545.40/8,676.34
  6. Step 6: Final answer
    x = 12,157.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.