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Finding the Fourth Proportional to 18,237.60, 27,358 and 13,367.84

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Solution

The fourth proportional to 18,237.60, 27,358 and 13,367.84 is: 20,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,237.60 : 27,358 = 13,367.84 : x
  2. Step 2: Convert to fraction form
    18,237.60/27,358 = 13,367.84/x
  3. Step 3: Cross multiply
    18,237.60x = 27,358 × 13,367.84
  4. Step 4: Simplify right side
    18,237.60x = 365,717,366.72
  5. Step 5: Solve for x
    x = 365,717,366.72/18,237.60
  6. Step 6: Final answer
    x = 20,052.93

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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.