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Finding the Fourth Proportional to 13,185, 18,195.30 and 7,297

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Solution

The fourth proportional to 13,185, 18,195.30 and 7,297 is: 10,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185 : 18,195.30 = 7,297 : x
  2. Step 2: Convert to fraction form
    13,185/18,195.30 = 7,297/x
  3. Step 3: Cross multiply
    13,185x = 18,195.30 × 7,297
  4. Step 4: Simplify right side
    13,185x = 132,771,104.10
  5. Step 5: Solve for x
    x = 132,771,104.10/13,185
  6. Step 6: Final answer
    x = 10,069.86

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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.