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Finding the Fourth Proportional to 18,705.10, 28,064.94 and 8,309.56

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Solution

The fourth proportional to 18,705.10, 28,064.94 and 8,309.56 is: 12,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705.10 : 28,064.94 = 8,309.56 : x
  2. Step 2: Convert to fraction form
    18,705.10/28,064.94 = 8,309.56/x
  3. Step 3: Cross multiply
    18,705.10x = 28,064.94 × 8,309.56
  4. Step 4: Simplify right side
    18,705.10x = 233,207,302.83
  5. Step 5: Solve for x
    x = 233,207,302.83/18,705.10
  6. Step 6: Final answer
    x = 12,467.58

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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.