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Finding the Fourth Proportional to 8,206.47, 12,300.86 and 3,980.78

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Solution

The fourth proportional to 8,206.47, 12,300.86 and 3,980.78 is: 5,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.47 : 12,300.86 = 3,980.78 : x
  2. Step 2: Convert to fraction form
    8,206.47/12,300.86 = 3,980.78/x
  3. Step 3: Cross multiply
    8,206.47x = 12,300.86 × 3,980.78
  4. Step 4: Simplify right side
    8,206.47x = 48,966,955.97
  5. Step 5: Solve for x
    x = 48,966,955.97/8,206.47
  6. Step 6: Final answer
    x = 5,966.87

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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.