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Finding the Fourth Proportional to 8,431.85, 11,628 and 6,312.48

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Solution

The fourth proportional to 8,431.85, 11,628 and 6,312.48 is: 8,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.85 : 11,628 = 6,312.48 : x
  2. Step 2: Convert to fraction form
    8,431.85/11,628 = 6,312.48/x
  3. Step 3: Cross multiply
    8,431.85x = 11,628 × 6,312.48
  4. Step 4: Simplify right side
    8,431.85x = 73,401,517.44
  5. Step 5: Solve for x
    x = 73,401,517.44/8,431.85
  6. Step 6: Final answer
    x = 8,705.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.