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Finding the Fourth Proportional to 8,492.70, 12,731.79 and 3,224.76

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Solution

The fourth proportional to 8,492.70, 12,731.79 and 3,224.76 is: 4,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.70 : 12,731.79 = 3,224.76 : x
  2. Step 2: Convert to fraction form
    8,492.70/12,731.79 = 3,224.76/x
  3. Step 3: Cross multiply
    8,492.70x = 12,731.79 × 3,224.76
  4. Step 4: Simplify right side
    8,492.70x = 41,056,967.12
  5. Step 5: Solve for x
    x = 41,056,967.12/8,492.70
  6. Step 6: Final answer
    x = 4,834.38

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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.