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Finding the Fourth Proportional to 12,814.92, 17,685.02 and 7,436.94

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Solution

The fourth proportional to 12,814.92, 17,685.02 and 7,436.94 is: 10,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.92 : 17,685.02 = 7,436.94 : x
  2. Step 2: Convert to fraction form
    12,814.92/17,685.02 = 7,436.94/x
  3. Step 3: Cross multiply
    12,814.92x = 17,685.02 × 7,436.94
  4. Step 4: Simplify right side
    12,814.92x = 131,522,451.23
  5. Step 5: Solve for x
    x = 131,522,451.23/12,814.92
  6. Step 6: Final answer
    x = 10,263.23

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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.