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Finding the Fourth Proportional to 8,628, 12,941.28 and 3,085.44

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Solution

The fourth proportional to 8,628, 12,941.28 and 3,085.44 is: 4,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628 : 12,941.28 = 3,085.44 : x
  2. Step 2: Convert to fraction form
    8,628/12,941.28 = 3,085.44/x
  3. Step 3: Cross multiply
    8,628x = 12,941.28 × 3,085.44
  4. Step 4: Simplify right side
    8,628x = 39,929,542.96
  5. Step 5: Solve for x
    x = 39,929,542.96/8,628
  6. Step 6: Final answer
    x = 4,627.90

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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.