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Finding the Fourth Proportional to 6,647.87, 9,973.52 and 2,949.20

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Solution

The fourth proportional to 6,647.87, 9,973.52 and 2,949.20 is: 4,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.87 : 9,973.52 = 2,949.20 : x
  2. Step 2: Convert to fraction form
    6,647.87/9,973.52 = 2,949.20/x
  3. Step 3: Cross multiply
    6,647.87x = 9,973.52 × 2,949.20
  4. Step 4: Simplify right side
    6,647.87x = 29,413,926.43
  5. Step 5: Solve for x
    x = 29,413,926.43/6,647.87
  6. Step 6: Final answer
    x = 4,424.57

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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.