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Finding the Fourth Proportional to 6,809.54, 10,199.95 and 3,114.88

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Solution

The fourth proportional to 6,809.54, 10,199.95 and 3,114.88 is: 4,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.54 : 10,199.95 = 3,114.88 : x
  2. Step 2: Convert to fraction form
    6,809.54/10,199.95 = 3,114.88/x
  3. Step 3: Cross multiply
    6,809.54x = 10,199.95 × 3,114.88
  4. Step 4: Simplify right side
    6,809.54x = 31,771,620.26
  5. Step 5: Solve for x
    x = 31,771,620.26/6,809.54
  6. Step 6: Final answer
    x = 4,665.75

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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.