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Finding the Fourth Proportional to 3,492.64, 5,234.64 and 1,761.76

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Solution

The fourth proportional to 3,492.64, 5,234.64 and 1,761.76 is: 2,640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.64 : 5,234.64 = 1,761.76 : x
  2. Step 2: Convert to fraction form
    3,492.64/5,234.64 = 1,761.76/x
  3. Step 3: Cross multiply
    3,492.64x = 5,234.64 × 1,761.76
  4. Step 4: Simplify right side
    3,492.64x = 9,222,179.37
  5. Step 5: Solve for x
    x = 9,222,179.37/3,492.64
  6. Step 6: Final answer
    x = 2,640.46

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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.