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Finding the Fourth Proportional to 7,962, 10,983.78 and 5,605.44

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Solution

The fourth proportional to 7,962, 10,983.78 and 5,605.44 is: 7,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962 : 10,983.78 = 5,605.44 : x
  2. Step 2: Convert to fraction form
    7,962/10,983.78 = 5,605.44/x
  3. Step 3: Cross multiply
    7,962x = 10,983.78 × 5,605.44
  4. Step 4: Simplify right side
    7,962x = 61,568,919.76
  5. Step 5: Solve for x
    x = 61,568,919.76/7,962
  6. Step 6: Final answer
    x = 7,732.85

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1.5x scale

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.