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Finding the Fourth Proportional to 3,490.68, 5,234.68 and 1,409.96

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Solution

The fourth proportional to 3,490.68, 5,234.68 and 1,409.96 is: 2,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.68 : 5,234.68 = 1,409.96 : x
  2. Step 2: Convert to fraction form
    3,490.68/5,234.68 = 1,409.96/x
  3. Step 3: Cross multiply
    3,490.68x = 5,234.68 × 1,409.96
  4. Step 4: Simplify right side
    3,490.68x = 7,380,689.41
  5. Step 5: Solve for x
    x = 7,380,689.41/3,490.68
  6. Step 6: Final answer
    x = 2,114.40

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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.