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Finding the Fourth Proportional to 7,806.60, 11,714.46 and 3,423.88

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Solution

The fourth proportional to 7,806.60, 11,714.46 and 3,423.88 is: 5,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.60 : 11,714.46 = 3,423.88 : x
  2. Step 2: Convert to fraction form
    7,806.60/11,714.46 = 3,423.88/x
  3. Step 3: Cross multiply
    7,806.60x = 11,714.46 × 3,423.88
  4. Step 4: Simplify right side
    7,806.60x = 40,108,905.30
  5. Step 5: Solve for x
    x = 40,108,905.30/7,806.60
  6. Step 6: Final answer
    x = 5,137.82

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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.