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Finding the Fourth Proportional to 8,578.68, 12,887.74 and 6,086.02

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Solution

The fourth proportional to 8,578.68, 12,887.74 and 6,086.02 is: 9,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.68 : 12,887.74 = 6,086.02 : x
  2. Step 2: Convert to fraction form
    8,578.68/12,887.74 = 6,086.02/x
  3. Step 3: Cross multiply
    8,578.68x = 12,887.74 × 6,086.02
  4. Step 4: Simplify right side
    8,578.68x = 78,435,043.39
  5. Step 5: Solve for x
    x = 78,435,043.39/8,578.68
  6. Step 6: Final answer
    x = 9,143.02

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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.