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Finding the Fourth Proportional to 13,578.84, 18,740.16 and 8,854.92

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Solution

The fourth proportional to 13,578.84, 18,740.16 and 8,854.92 is: 12,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.84 : 18,740.16 = 8,854.92 : x
  2. Step 2: Convert to fraction form
    13,578.84/18,740.16 = 8,854.92/x
  3. Step 3: Cross multiply
    13,578.84x = 18,740.16 × 8,854.92
  4. Step 4: Simplify right side
    13,578.84x = 165,942,617.59
  5. Step 5: Solve for x
    x = 165,942,617.59/13,578.84
  6. Step 6: Final answer
    x = 12,220.68

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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.