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Finding the Fourth Proportional to 3,490.61, 5,233.86 and 1,410.68

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Solution

The fourth proportional to 3,490.61, 5,233.86 and 1,410.68 is: 2,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.61 : 5,233.86 = 1,410.68 : x
  2. Step 2: Convert to fraction form
    3,490.61/5,233.86 = 1,410.68/x
  3. Step 3: Cross multiply
    3,490.61x = 5,233.86 × 1,410.68
  4. Step 4: Simplify right side
    3,490.61x = 7,383,301.62
  5. Step 5: Solve for x
    x = 7,383,301.62/3,490.61
  6. Step 6: Final answer
    x = 2,115.19

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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.