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Finding the Fourth Proportional to 2,399, 3,310.62 and 1,404.23

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Solution

The fourth proportional to 2,399, 3,310.62 and 1,404.23 is: 1,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399 : 3,310.62 = 1,404.23 : x
  2. Step 2: Convert to fraction form
    2,399/3,310.62 = 1,404.23/x
  3. Step 3: Cross multiply
    2,399x = 3,310.62 × 1,404.23
  4. Step 4: Simplify right side
    2,399x = 4,648,871.92
  5. Step 5: Solve for x
    x = 4,648,871.92/2,399
  6. Step 6: Final answer
    x = 1,937.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.