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Finding the Fourth Proportional to 9,983.50, 13,744.84 and 7,855.28

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Solution

The fourth proportional to 9,983.50, 13,744.84 and 7,855.28 is: 10,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.50 : 13,744.84 = 7,855.28 : x
  2. Step 2: Convert to fraction form
    9,983.50/13,744.84 = 7,855.28/x
  3. Step 3: Cross multiply
    9,983.50x = 13,744.84 × 7,855.28
  4. Step 4: Simplify right side
    9,983.50x = 107,969,544.66
  5. Step 5: Solve for x
    x = 107,969,544.66/9,983.50
  6. Step 6: Final answer
    x = 10,814.80

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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.