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Finding the Fourth Proportional to 18,210, 27,289.60 and 13,764

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Solution

The fourth proportional to 18,210, 27,289.60 and 13,764 is: 20,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,210 : 27,289.60 = 13,764 : x
  2. Step 2: Convert to fraction form
    18,210/27,289.60 = 13,764/x
  3. Step 3: Cross multiply
    18,210x = 27,289.60 × 13,764
  4. Step 4: Simplify right side
    18,210x = 375,614,054.40
  5. Step 5: Solve for x
    x = 375,614,054.40/18,210
  6. Step 6: Final answer
    x = 20,626.80

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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.