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Finding the Fourth Proportional to 20,641.84, 30,922.97 and 12,328.50

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Solution

The fourth proportional to 20,641.84, 30,922.97 and 12,328.50 is: 18,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,641.84 : 30,922.97 = 12,328.50 : x
  2. Step 2: Convert to fraction form
    20,641.84/30,922.97 = 12,328.50/x
  3. Step 3: Cross multiply
    20,641.84x = 30,922.97 × 12,328.50
  4. Step 4: Simplify right side
    20,641.84x = 381,233,889.96
  5. Step 5: Solve for x
    x = 381,233,889.96/20,641.84
  6. Step 6: Final answer
    x = 18,468.99

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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.