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Finding the Fourth Proportional to 20,624.16, 30,919.86 and 8,929.20

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Solution

The fourth proportional to 20,624.16, 30,919.86 and 8,929.20 is: 13,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624.16 : 30,919.86 = 8,929.20 : x
  2. Step 2: Convert to fraction form
    20,624.16/30,919.86 = 8,929.20/x
  3. Step 3: Cross multiply
    20,624.16x = 30,919.86 × 8,929.20
  4. Step 4: Simplify right side
    20,624.16x = 276,089,613.91
  5. Step 5: Solve for x
    x = 276,089,613.91/20,624.16
  6. Step 6: Final answer
    x = 13,386.71

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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.