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Finding the Fourth Proportional to 6,647.68, 9,173.89 and 3,815.28

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Solution

The fourth proportional to 6,647.68, 9,173.89 and 3,815.28 is: 5,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.68 : 9,173.89 = 3,815.28 : x
  2. Step 2: Convert to fraction form
    6,647.68/9,173.89 = 3,815.28/x
  3. Step 3: Cross multiply
    6,647.68x = 9,173.89 × 3,815.28
  4. Step 4: Simplify right side
    6,647.68x = 35,000,959.04
  5. Step 5: Solve for x
    x = 35,000,959.04/6,647.68
  6. Step 6: Final answer
    x = 5,265.14

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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.