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Finding the Fourth Proportional to 20,584, 30,917.44 and 12,280.24

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Solution

The fourth proportional to 20,584, 30,917.44 and 12,280.24 is: 18,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584 : 30,917.44 = 12,280.24 : x
  2. Step 2: Convert to fraction form
    20,584/30,917.44 = 12,280.24/x
  3. Step 3: Cross multiply
    20,584x = 30,917.44 × 12,280.24
  4. Step 4: Simplify right side
    20,584x = 379,673,583.39
  5. Step 5: Solve for x
    x = 379,673,583.39/20,584
  6. Step 6: Final answer
    x = 18,445.08

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1.5x scale

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.