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Finding the Fourth Proportional to 18,270, 27,349.50 and 11,700.80

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Solution

The fourth proportional to 18,270, 27,349.50 and 11,700.80 is: 17,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270 : 27,349.50 = 11,700.80 : x
  2. Step 2: Convert to fraction form
    18,270/27,349.50 = 11,700.80/x
  3. Step 3: Cross multiply
    18,270x = 27,349.50 × 11,700.80
  4. Step 4: Simplify right side
    18,270x = 320,011,029.60
  5. Step 5: Solve for x
    x = 320,011,029.60/18,270
  6. Step 6: Final answer
    x = 17,515.66

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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.