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Finding the Fourth Proportional to 3,490.52, 5,236.74 and 1,409.24

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Solution

The fourth proportional to 3,490.52, 5,236.74 and 1,409.24 is: 2,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.52 : 5,236.74 = 1,409.24 : x
  2. Step 2: Convert to fraction form
    3,490.52/5,236.74 = 1,409.24/x
  3. Step 3: Cross multiply
    3,490.52x = 5,236.74 × 1,409.24
  4. Step 4: Simplify right side
    3,490.52x = 7,379,823.48
  5. Step 5: Solve for x
    x = 7,379,823.48/3,490.52
  6. Step 6: Final answer
    x = 2,114.25

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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.