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Finding the Fourth Proportional to 13,097.50, 18,074.64 and 7,508.50

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Solution

The fourth proportional to 13,097.50, 18,074.64 and 7,508.50 is: 10,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.50 : 18,074.64 = 7,508.50 : x
  2. Step 2: Convert to fraction form
    13,097.50/18,074.64 = 7,508.50/x
  3. Step 3: Cross multiply
    13,097.50x = 18,074.64 × 7,508.50
  4. Step 4: Simplify right side
    13,097.50x = 135,713,434.44
  5. Step 5: Solve for x
    x = 135,713,434.44/13,097.50
  6. Step 6: Final answer
    x = 10,361.78

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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.