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Finding the Fourth Proportional to 18,580.71, 27,871.05 and 8,042.10

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Solution

The fourth proportional to 18,580.71, 27,871.05 and 8,042.10 is: 12,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.71 : 27,871.05 = 8,042.10 : x
  2. Step 2: Convert to fraction form
    18,580.71/27,871.05 = 8,042.10/x
  3. Step 3: Cross multiply
    18,580.71x = 27,871.05 × 8,042.10
  4. Step 4: Simplify right side
    18,580.71x = 224,141,771.21
  5. Step 5: Solve for x
    x = 224,141,771.21/18,580.71
  6. Step 6: Final answer
    x = 12,063.14

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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.