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Finding the Fourth Proportional to 6,515, 9,775.24 and 3,395.80

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Solution

The fourth proportional to 6,515, 9,775.24 and 3,395.80 is: 5,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515 : 9,775.24 = 3,395.80 : x
  2. Step 2: Convert to fraction form
    6,515/9,775.24 = 3,395.80/x
  3. Step 3: Cross multiply
    6,515x = 9,775.24 × 3,395.80
  4. Step 4: Simplify right side
    6,515x = 33,194,759.99
  5. Step 5: Solve for x
    x = 33,194,759.99/6,515
  6. Step 6: Final answer
    x = 5,095.13

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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.