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Finding the Fourth Proportional to 8,604.60, 12,905.70 and 2,761.80

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Solution

The fourth proportional to 8,604.60, 12,905.70 and 2,761.80 is: 4,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604.60 : 12,905.70 = 2,761.80 : x
  2. Step 2: Convert to fraction form
    8,604.60/12,905.70 = 2,761.80/x
  3. Step 3: Cross multiply
    8,604.60x = 12,905.70 × 2,761.80
  4. Step 4: Simplify right side
    8,604.60x = 35,642,962.26
  5. Step 5: Solve for x
    x = 35,642,962.26/8,604.60
  6. Step 6: Final answer
    x = 4,142.31

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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.