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Finding the Fourth Proportional to 11,955.81, 16,484.93 and 8,180.81

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Solution

The fourth proportional to 11,955.81, 16,484.93 and 8,180.81 is: 11,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.81 : 16,484.93 = 8,180.81 : x
  2. Step 2: Convert to fraction form
    11,955.81/16,484.93 = 8,180.81/x
  3. Step 3: Cross multiply
    11,955.81x = 16,484.93 × 8,180.81
  4. Step 4: Simplify right side
    11,955.81x = 134,859,997.77
  5. Step 5: Solve for x
    x = 134,859,997.77/11,955.81
  6. Step 6: Final answer
    x = 11,279.87

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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.