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Finding the Fourth Proportional to 13,114.84, 18,092.78 and 7,806.68

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Solution

The fourth proportional to 13,114.84, 18,092.78 and 7,806.68 is: 10,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.84 : 18,092.78 = 7,806.68 : x
  2. Step 2: Convert to fraction form
    13,114.84/18,092.78 = 7,806.68/x
  3. Step 3: Cross multiply
    13,114.84x = 18,092.78 × 7,806.68
  4. Step 4: Simplify right side
    13,114.84x = 141,244,543.77
  5. Step 5: Solve for x
    x = 141,244,543.77/13,114.84
  6. Step 6: Final answer
    x = 10,769.83

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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.