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Finding the Fourth Proportional to 8,128.86, 12,180.50 and 6,284.50

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Solution

The fourth proportional to 8,128.86, 12,180.50 and 6,284.50 is: 9,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.86 : 12,180.50 = 6,284.50 : x
  2. Step 2: Convert to fraction form
    8,128.86/12,180.50 = 6,284.50/x
  3. Step 3: Cross multiply
    8,128.86x = 12,180.50 × 6,284.50
  4. Step 4: Simplify right side
    8,128.86x = 76,548,352.25
  5. Step 5: Solve for x
    x = 76,548,352.25/8,128.86
  6. Step 6: Final answer
    x = 9,416.86

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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.