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Finding the Fourth Proportional to 9,131.06, 12,602.89 and 5,938.80

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Solution

The fourth proportional to 9,131.06, 12,602.89 and 5,938.80 is: 8,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.06 : 12,602.89 = 5,938.80 : x
  2. Step 2: Convert to fraction form
    9,131.06/12,602.89 = 5,938.80/x
  3. Step 3: Cross multiply
    9,131.06x = 12,602.89 × 5,938.80
  4. Step 4: Simplify right side
    9,131.06x = 74,846,043.13
  5. Step 5: Solve for x
    x = 74,846,043.13/9,131.06
  6. Step 6: Final answer
    x = 8,196.87

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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.