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Finding the Fourth Proportional to 13,451.84, 18,564.14 and 11,209.96

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Solution

The fourth proportional to 13,451.84, 18,564.14 and 11,209.96 is: 15,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.84 : 18,564.14 = 11,209.96 : x
  2. Step 2: Convert to fraction form
    13,451.84/18,564.14 = 11,209.96/x
  3. Step 3: Cross multiply
    13,451.84x = 18,564.14 × 11,209.96
  4. Step 4: Simplify right side
    13,451.84x = 208,103,255.01
  5. Step 5: Solve for x
    x = 208,103,255.01/13,451.84
  6. Step 6: Final answer
    x = 15,470.25

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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.