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Finding the Fourth Proportional to 8,128.56, 12,193.56 and 2,285.22

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Solution

The fourth proportional to 8,128.56, 12,193.56 and 2,285.22 is: 3,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.56 : 12,193.56 = 2,285.22 : x
  2. Step 2: Convert to fraction form
    8,128.56/12,193.56 = 2,285.22/x
  3. Step 3: Cross multiply
    8,128.56x = 12,193.56 × 2,285.22
  4. Step 4: Simplify right side
    8,128.56x = 27,864,967.18
  5. Step 5: Solve for x
    x = 27,864,967.18/8,128.56
  6. Step 6: Final answer
    x = 3,428.03

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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.