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Finding the Fourth Proportional to 8,137.70, 12,207.15 and 3,457.18

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Solution

The fourth proportional to 8,137.70, 12,207.15 and 3,457.18 is: 5,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.70 : 12,207.15 = 3,457.18 : x
  2. Step 2: Convert to fraction form
    8,137.70/12,207.15 = 3,457.18/x
  3. Step 3: Cross multiply
    8,137.70x = 12,207.15 × 3,457.18
  4. Step 4: Simplify right side
    8,137.70x = 42,202,236.52
  5. Step 5: Solve for x
    x = 42,202,236.52/8,137.70
  6. Step 6: Final answer
    x = 5,186.02

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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.