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Finding the Fourth Proportional to 20,563.68, 30,832.16 and 8,084.93

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Solution

The fourth proportional to 20,563.68, 30,832.16 and 8,084.93 is: 12,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.68 : 30,832.16 = 8,084.93 : x
  2. Step 2: Convert to fraction form
    20,563.68/30,832.16 = 8,084.93/x
  3. Step 3: Cross multiply
    20,563.68x = 30,832.16 × 8,084.93
  4. Step 4: Simplify right side
    20,563.68x = 249,275,660.76
  5. Step 5: Solve for x
    x = 249,275,660.76/20,563.68
  6. Step 6: Final answer
    x = 12,122.13

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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.