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Finding the Fourth Proportional to 8,469.28, 12,688.56 and 8,284.96

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Solution

The fourth proportional to 8,469.28, 12,688.56 and 8,284.96 is: 12,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.28 : 12,688.56 = 8,284.96 : x
  2. Step 2: Convert to fraction form
    8,469.28/12,688.56 = 8,284.96/x
  3. Step 3: Cross multiply
    8,469.28x = 12,688.56 × 8,284.96
  4. Step 4: Simplify right side
    8,469.28x = 105,124,212.06
  5. Step 5: Solve for x
    x = 105,124,212.06/8,469.28
  6. Step 6: Final answer
    x = 12,412.41

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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.