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Finding the Fourth Proportional to 20,264.64, 30,375.09 and 8,586.06

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Solution

The fourth proportional to 20,264.64, 30,375.09 and 8,586.06 is: 12,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.64 : 30,375.09 = 8,586.06 : x
  2. Step 2: Convert to fraction form
    20,264.64/30,375.09 = 8,586.06/x
  3. Step 3: Cross multiply
    20,264.64x = 30,375.09 × 8,586.06
  4. Step 4: Simplify right side
    20,264.64x = 260,802,345.25
  5. Step 5: Solve for x
    x = 260,802,345.25/20,264.64
  6. Step 6: Final answer
    x = 12,869.82

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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.