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Finding the Fourth Proportional to 8,471.28, 12,706.92 and 6,820.08

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Solution

The fourth proportional to 8,471.28, 12,706.92 and 6,820.08 is: 10,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.28 : 12,706.92 = 6,820.08 : x
  2. Step 2: Convert to fraction form
    8,471.28/12,706.92 = 6,820.08/x
  3. Step 3: Cross multiply
    8,471.28x = 12,706.92 × 6,820.08
  4. Step 4: Simplify right side
    8,471.28x = 86,662,210.95
  5. Step 5: Solve for x
    x = 86,662,210.95/8,471.28
  6. Step 6: Final answer
    x = 10,230.12

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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.