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Finding the Fourth Proportional to 8,164.42, 12,241.70 and 4,461.50

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Solution

The fourth proportional to 8,164.42, 12,241.70 and 4,461.50 is: 6,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.42 : 12,241.70 = 4,461.50 : x
  2. Step 2: Convert to fraction form
    8,164.42/12,241.70 = 4,461.50/x
  3. Step 3: Cross multiply
    8,164.42x = 12,241.70 × 4,461.50
  4. Step 4: Simplify right side
    8,164.42x = 54,616,344.55
  5. Step 5: Solve for x
    x = 54,616,344.55/8,164.42
  6. Step 6: Final answer
    x = 6,689.56

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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.