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Finding the Fourth Proportional to 20,586.65, 30,873.05 and 8,103.40

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Solution

The fourth proportional to 20,586.65, 30,873.05 and 8,103.40 is: 12,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586.65 : 30,873.05 = 8,103.40 : x
  2. Step 2: Convert to fraction form
    20,586.65/30,873.05 = 8,103.40/x
  3. Step 3: Cross multiply
    20,586.65x = 30,873.05 × 8,103.40
  4. Step 4: Simplify right side
    20,586.65x = 250,176,673.37
  5. Step 5: Solve for x
    x = 250,176,673.37/20,586.65
  6. Step 6: Final answer
    x = 12,152.37

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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.