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Finding the Fourth Proportional to 13,701, 18,899.82 and 9,216.84

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Solution

The fourth proportional to 13,701, 18,899.82 and 9,216.84 is: 12,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701 : 18,899.82 = 9,216.84 : x
  2. Step 2: Convert to fraction form
    13,701/18,899.82 = 9,216.84/x
  3. Step 3: Cross multiply
    13,701x = 18,899.82 × 9,216.84
  4. Step 4: Simplify right side
    13,701x = 174,196,616.97
  5. Step 5: Solve for x
    x = 174,196,616.97/13,701
  6. Step 6: Final answer
    x = 12,714.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.