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Finding the Fourth Proportional to 8,606.20, 12,910 and 3,675.94

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Solution

The fourth proportional to 8,606.20, 12,910 and 3,675.94 is: 5,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.20 : 12,910 = 3,675.94 : x
  2. Step 2: Convert to fraction form
    8,606.20/12,910 = 3,675.94/x
  3. Step 3: Cross multiply
    8,606.20x = 12,910 × 3,675.94
  4. Step 4: Simplify right side
    8,606.20x = 47,456,385.40
  5. Step 5: Solve for x
    x = 47,456,385.40/8,606.20
  6. Step 6: Final answer
    x = 5,514.21

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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.