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Finding the Fourth Proportional to 8,464.68, 12,697.02 and 4,081.32

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Solution

The fourth proportional to 8,464.68, 12,697.02 and 4,081.32 is: 6,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.68 : 12,697.02 = 4,081.32 : x
  2. Step 2: Convert to fraction form
    8,464.68/12,697.02 = 4,081.32/x
  3. Step 3: Cross multiply
    8,464.68x = 12,697.02 × 4,081.32
  4. Step 4: Simplify right side
    8,464.68x = 51,820,601.67
  5. Step 5: Solve for x
    x = 51,820,601.67/8,464.68
  6. Step 6: Final answer
    x = 6,121.98

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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.