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Finding the Fourth Proportional to 2,476.24, 3,714 and 1,379.92

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Solution

The fourth proportional to 2,476.24, 3,714 and 1,379.92 is: 2,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.24 : 3,714 = 1,379.92 : x
  2. Step 2: Convert to fraction form
    2,476.24/3,714 = 1,379.92/x
  3. Step 3: Cross multiply
    2,476.24x = 3,714 × 1,379.92
  4. Step 4: Simplify right side
    2,476.24x = 5,125,022.88
  5. Step 5: Solve for x
    x = 5,125,022.88/2,476.24
  6. Step 6: Final answer
    x = 2,069.68

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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.