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Finding the Fourth Proportional to 9,716.76, 13,395.54 and 8,218.66

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Solution

The fourth proportional to 9,716.76, 13,395.54 and 8,218.66 is: 11,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.76 : 13,395.54 = 8,218.66 : x
  2. Step 2: Convert to fraction form
    9,716.76/13,395.54 = 8,218.66/x
  3. Step 3: Cross multiply
    9,716.76x = 13,395.54 × 8,218.66
  4. Step 4: Simplify right side
    9,716.76x = 110,093,388.78
  5. Step 5: Solve for x
    x = 110,093,388.78/9,716.76
  6. Step 6: Final answer
    x = 11,330.26

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Double scale
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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.