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Finding the Fourth Proportional to 2,398.50, 3,310.20 and 1,404.12

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Solution

The fourth proportional to 2,398.50, 3,310.20 and 1,404.12 is: 1,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.50 : 3,310.20 = 1,404.12 : x
  2. Step 2: Convert to fraction form
    2,398.50/3,310.20 = 1,404.12/x
  3. Step 3: Cross multiply
    2,398.50x = 3,310.20 × 1,404.12
  4. Step 4: Simplify right side
    2,398.50x = 4,647,918.02
  5. Step 5: Solve for x
    x = 4,647,918.02/2,398.50
  6. Step 6: Final answer
    x = 1,937.84

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