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Finding the Fourth Proportional to 18,639.84, 27,969.12 and 8,778

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Solution

The fourth proportional to 18,639.84, 27,969.12 and 8,778 is: 13,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,639.84 : 27,969.12 = 8,778 : x
  2. Step 2: Convert to fraction form
    18,639.84/27,969.12 = 8,778/x
  3. Step 3: Cross multiply
    18,639.84x = 27,969.12 × 8,778
  4. Step 4: Simplify right side
    18,639.84x = 245,512,935.36
  5. Step 5: Solve for x
    x = 245,512,935.36/18,639.84
  6. Step 6: Final answer
    x = 13,171.41

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Why These Related Problems?

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