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Finding the Fourth Proportional to 11,785.94, 16,264.80 and 6,480.98

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Solution

The fourth proportional to 11,785.94, 16,264.80 and 6,480.98 is: 8,943.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.94 : 16,264.80 = 6,480.98 : x
  2. Step 2: Convert to fraction form
    11,785.94/16,264.80 = 6,480.98/x
  3. Step 3: Cross multiply
    11,785.94x = 16,264.80 × 6,480.98
  4. Step 4: Simplify right side
    11,785.94x = 105,411,843.50
  5. Step 5: Solve for x
    x = 105,411,843.50/11,785.94
  6. Step 6: Final answer
    x = 8,943.86

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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.