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Finding the Fourth Proportional to 18,213.16, 27,302.70 and 8,342.50

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Solution

The fourth proportional to 18,213.16, 27,302.70 and 8,342.50 is: 12,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,213.16 : 27,302.70 = 8,342.50 : x
  2. Step 2: Convert to fraction form
    18,213.16/27,302.70 = 8,342.50/x
  3. Step 3: Cross multiply
    18,213.16x = 27,302.70 × 8,342.50
  4. Step 4: Simplify right side
    18,213.16x = 227,772,774.75
  5. Step 5: Solve for x
    x = 227,772,774.75/18,213.16
  6. Step 6: Final answer
    x = 12,505.94

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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.