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Finding the Fourth Proportional to 8,165.22, 12,247.96 and 4,277.22

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Solution

The fourth proportional to 8,165.22, 12,247.96 and 4,277.22 is: 6,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.22 : 12,247.96 = 4,277.22 : x
  2. Step 2: Convert to fraction form
    8,165.22/12,247.96 = 4,277.22/x
  3. Step 3: Cross multiply
    8,165.22x = 12,247.96 × 4,277.22
  4. Step 4: Simplify right side
    8,165.22x = 52,387,219.47
  5. Step 5: Solve for x
    x = 52,387,219.47/8,165.22
  6. Step 6: Final answer
    x = 6,415.90

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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.