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Finding the Fourth Proportional to 6,647.77, 9,972.75 and 2,489.23

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Solution

The fourth proportional to 6,647.77, 9,972.75 and 2,489.23 is: 3,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.77 : 9,972.75 = 2,489.23 : x
  2. Step 2: Convert to fraction form
    6,647.77/9,972.75 = 2,489.23/x
  3. Step 3: Cross multiply
    6,647.77x = 9,972.75 × 2,489.23
  4. Step 4: Simplify right side
    6,647.77x = 24,824,468.48
  5. Step 5: Solve for x
    x = 24,824,468.48/6,647.77
  6. Step 6: Final answer
    x = 3,734.26

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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.