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Finding the Fourth Proportional to 7,786.07, 11,679.09 and 7,009.32

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Solution

The fourth proportional to 7,786.07, 11,679.09 and 7,009.32 is: 10,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.07 : 11,679.09 = 7,009.32 : x
  2. Step 2: Convert to fraction form
    7,786.07/11,679.09 = 7,009.32/x
  3. Step 3: Cross multiply
    7,786.07x = 11,679.09 × 7,009.32
  4. Step 4: Simplify right side
    7,786.07x = 81,862,479.12
  5. Step 5: Solve for x
    x = 81,862,479.12/7,786.07
  6. Step 6: Final answer
    x = 10,513.97

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.