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Finding the Fourth Proportional to 2,149.25, 2,965.51 and 1,404.30

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Solution

The fourth proportional to 2,149.25, 2,965.51 and 1,404.30 is: 1,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.25 : 2,965.51 = 1,404.30 : x
  2. Step 2: Convert to fraction form
    2,149.25/2,965.51 = 1,404.30/x
  3. Step 3: Cross multiply
    2,149.25x = 2,965.51 × 1,404.30
  4. Step 4: Simplify right side
    2,149.25x = 4,164,453.99
  5. Step 5: Solve for x
    x = 4,164,453.99/2,149.25
  6. Step 6: Final answer
    x = 1,937.64

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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.