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Finding the Fourth Proportional to 18,599.84, 27,899.76 and 6,916

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Solution

The fourth proportional to 18,599.84, 27,899.76 and 6,916 is: 10,374

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,599.84 : 27,899.76 = 6,916 : x
  2. Step 2: Convert to fraction form
    18,599.84/27,899.76 = 6,916/x
  3. Step 3: Cross multiply
    18,599.84x = 27,899.76 × 6,916
  4. Step 4: Simplify right side
    18,599.84x = 192,954,740.16
  5. Step 5: Solve for x
    x = 192,954,740.16/18,599.84
  6. Step 6: Final answer
    x = 10,374

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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.