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Finding the Fourth Proportional to 18,104, 27,156.16 and 7,160

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Solution

The fourth proportional to 18,104, 27,156.16 and 7,160 is: 10,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,104 : 27,156.16 = 7,160 : x
  2. Step 2: Convert to fraction form
    18,104/27,156.16 = 7,160/x
  3. Step 3: Cross multiply
    18,104x = 27,156.16 × 7,160
  4. Step 4: Simplify right side
    18,104x = 194,438,105.60
  5. Step 5: Solve for x
    x = 194,438,105.60/18,104
  6. Step 6: Final answer
    x = 10,740.06

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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.