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Finding the Fourth Proportional to 8,520.68, 12,784.19 and 3,839.28

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Solution

The fourth proportional to 8,520.68, 12,784.19 and 3,839.28 is: 5,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.68 : 12,784.19 = 3,839.28 : x
  2. Step 2: Convert to fraction form
    8,520.68/12,784.19 = 3,839.28/x
  3. Step 3: Cross multiply
    8,520.68x = 12,784.19 × 3,839.28
  4. Step 4: Simplify right side
    8,520.68x = 49,082,084.98
  5. Step 5: Solve for x
    x = 49,082,084.98/8,520.68
  6. Step 6: Final answer
    x = 5,760.35

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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.