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Finding the Fourth Proportional to 20,585, 30,856.28 and 8,099.96

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Solution

The fourth proportional to 20,585, 30,856.28 and 8,099.96 is: 12,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585 : 30,856.28 = 8,099.96 : x
  2. Step 2: Convert to fraction form
    20,585/30,856.28 = 8,099.96/x
  3. Step 3: Cross multiply
    20,585x = 30,856.28 × 8,099.96
  4. Step 4: Simplify right side
    20,585x = 249,934,633.75
  5. Step 5: Solve for x
    x = 249,934,633.75/20,585
  6. Step 6: Final answer
    x = 12,141.59

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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.