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Finding the Fourth Proportional to 11,785.99, 16,264.78 and 6,480.84

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Solution

The fourth proportional to 11,785.99, 16,264.78 and 6,480.84 is: 8,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.99 : 16,264.78 = 6,480.84 : x
  2. Step 2: Convert to fraction form
    11,785.99/16,264.78 = 6,480.84/x
  3. Step 3: Cross multiply
    11,785.99x = 16,264.78 × 6,480.84
  4. Step 4: Simplify right side
    11,785.99x = 105,409,518.06
  5. Step 5: Solve for x
    x = 105,409,518.06/11,785.99
  6. Step 6: Final answer
    x = 8,943.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.