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Finding the Fourth Proportional to 8,128.32, 12,199.32 and 6,284.40

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Solution

The fourth proportional to 8,128.32, 12,199.32 and 6,284.40 is: 9,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.32 : 12,199.32 = 6,284.40 : x
  2. Step 2: Convert to fraction form
    8,128.32/12,199.32 = 6,284.40/x
  3. Step 3: Cross multiply
    8,128.32x = 12,199.32 × 6,284.40
  4. Step 4: Simplify right side
    8,128.32x = 76,665,406.61
  5. Step 5: Solve for x
    x = 76,665,406.61/8,128.32
  6. Step 6: Final answer
    x = 9,431.89

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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.