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Finding the Fourth Proportional to 8,461.80, 12,678.84 and 8,137.80

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Solution

The fourth proportional to 8,461.80, 12,678.84 and 8,137.80 is: 12,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.80 : 12,678.84 = 8,137.80 : x
  2. Step 2: Convert to fraction form
    8,461.80/12,678.84 = 8,137.80/x
  3. Step 3: Cross multiply
    8,461.80x = 12,678.84 × 8,137.80
  4. Step 4: Simplify right side
    8,461.80x = 103,177,864.15
  5. Step 5: Solve for x
    x = 103,177,864.15/8,461.80
  6. Step 6: Final answer
    x = 12,193.37

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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.