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Finding the Fourth Proportional to 20,586.56, 30,855 and 9,478.04

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Solution

The fourth proportional to 20,586.56, 30,855 and 9,478.04 is: 14,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586.56 : 30,855 = 9,478.04 : x
  2. Step 2: Convert to fraction form
    20,586.56/30,855 = 9,478.04/x
  3. Step 3: Cross multiply
    20,586.56x = 30,855 × 9,478.04
  4. Step 4: Simplify right side
    20,586.56x = 292,444,924.20
  5. Step 5: Solve for x
    x = 292,444,924.20/20,586.56
  6. Step 6: Final answer
    x = 14,205.62

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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.