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Finding the Fourth Proportional to 13,685.82, 20,513.91 and 8,943.45

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Solution

The fourth proportional to 13,685.82, 20,513.91 and 8,943.45 is: 13,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.82 : 20,513.91 = 8,943.45 : x
  2. Step 2: Convert to fraction form
    13,685.82/20,513.91 = 8,943.45/x
  3. Step 3: Cross multiply
    13,685.82x = 20,513.91 × 8,943.45
  4. Step 4: Simplify right side
    13,685.82x = 183,465,128.39
  5. Step 5: Solve for x
    x = 183,465,128.39/13,685.82
  6. Step 6: Final answer
    x = 13,405.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.