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Finding the Fourth Proportional to 8,172.63, 12,256.65 and 2,327.67

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Solution

The fourth proportional to 8,172.63, 12,256.65 and 2,327.67 is: 3,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.63 : 12,256.65 = 2,327.67 : x
  2. Step 2: Convert to fraction form
    8,172.63/12,256.65 = 2,327.67/x
  3. Step 3: Cross multiply
    8,172.63x = 12,256.65 × 2,327.67
  4. Step 4: Simplify right side
    8,172.63x = 28,529,436.51
  5. Step 5: Solve for x
    x = 28,529,436.51/8,172.63
  6. Step 6: Final answer
    x = 3,490.85

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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.