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Finding the Fourth Proportional to 3,490.84, 5,234.89 and 1,410.46

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Solution

The fourth proportional to 3,490.84, 5,234.89 and 1,410.46 is: 2,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.84 : 5,234.89 = 1,410.46 : x
  2. Step 2: Convert to fraction form
    3,490.84/5,234.89 = 1,410.46/x
  3. Step 3: Cross multiply
    3,490.84x = 5,234.89 × 1,410.46
  4. Step 4: Simplify right side
    3,490.84x = 7,383,602.95
  5. Step 5: Solve for x
    x = 7,383,602.95/3,490.84
  6. Step 6: Final answer
    x = 2,115.14

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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.