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Finding the Fourth Proportional to 18,659.30, 27,957.74 and 8,113.50

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Solution

The fourth proportional to 18,659.30, 27,957.74 and 8,113.50 is: 12,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,659.30 : 27,957.74 = 8,113.50 : x
  2. Step 2: Convert to fraction form
    18,659.30/27,957.74 = 8,113.50/x
  3. Step 3: Cross multiply
    18,659.30x = 27,957.74 × 8,113.50
  4. Step 4: Simplify right side
    18,659.30x = 226,835,128.56
  5. Step 5: Solve for x
    x = 226,835,128.56/18,659.30
  6. Step 6: Final answer
    x = 12,156.68

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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.