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Finding the Fourth Proportional to 6,998.60, 9,659.70 and 4,905.80

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Solution

The fourth proportional to 6,998.60, 9,659.70 and 4,905.80 is: 6,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.60 : 9,659.70 = 4,905.80 : x
  2. Step 2: Convert to fraction form
    6,998.60/9,659.70 = 4,905.80/x
  3. Step 3: Cross multiply
    6,998.60x = 9,659.70 × 4,905.80
  4. Step 4: Simplify right side
    6,998.60x = 47,388,556.26
  5. Step 5: Solve for x
    x = 47,388,556.26/6,998.60
  6. Step 6: Final answer
    x = 6,771.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.