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Finding the Fourth Proportional to 6,740, 9,301.20 and 3,945.50

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Solution

The fourth proportional to 6,740, 9,301.20 and 3,945.50 is: 5,444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740 : 9,301.20 = 3,945.50 : x
  2. Step 2: Convert to fraction form
    6,740/9,301.20 = 3,945.50/x
  3. Step 3: Cross multiply
    6,740x = 9,301.20 × 3,945.50
  4. Step 4: Simplify right side
    6,740x = 36,697,884.60
  5. Step 5: Solve for x
    x = 36,697,884.60/6,740
  6. Step 6: Final answer
    x = 5,444.79

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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.