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Finding the Fourth Proportional to 8,203.68, 12,316.46 and 6,978.96

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Solution

The fourth proportional to 8,203.68, 12,316.46 and 6,978.96 is: 10,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.68 : 12,316.46 = 6,978.96 : x
  2. Step 2: Convert to fraction form
    8,203.68/12,316.46 = 6,978.96/x
  3. Step 3: Cross multiply
    8,203.68x = 12,316.46 × 6,978.96
  4. Step 4: Simplify right side
    8,203.68x = 85,956,046.79
  5. Step 5: Solve for x
    x = 85,956,046.79/8,203.68
  6. Step 6: Final answer
    x = 10,477.74

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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.