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Finding the Fourth Proportional to 6,930, 10,395.68 and 2,982.60

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Solution

The fourth proportional to 6,930, 10,395.68 and 2,982.60 is: 4,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930 : 10,395.68 = 2,982.60 : x
  2. Step 2: Convert to fraction form
    6,930/10,395.68 = 2,982.60/x
  3. Step 3: Cross multiply
    6,930x = 10,395.68 × 2,982.60
  4. Step 4: Simplify right side
    6,930x = 31,006,140.26
  5. Step 5: Solve for x
    x = 31,006,140.26/6,930
  6. Step 6: Final answer
    x = 4,474.19

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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.