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Finding the Fourth Proportional to 9,989.33, 13,786.20 and 7,467.05

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Solution

The fourth proportional to 9,989.33, 13,786.20 and 7,467.05 is: 10,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.33 : 13,786.20 = 7,467.05 : x
  2. Step 2: Convert to fraction form
    9,989.33/13,786.20 = 7,467.05/x
  3. Step 3: Cross multiply
    9,989.33x = 13,786.20 × 7,467.05
  4. Step 4: Simplify right side
    9,989.33x = 102,942,279.18
  5. Step 5: Solve for x
    x = 102,942,279.18/9,989.33
  6. Step 6: Final answer
    x = 10,305.23

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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.