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Finding the Fourth Proportional to 2,919, 4,380.53 and 1,187.63

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Solution

The fourth proportional to 2,919, 4,380.53 and 1,187.63 is: 1,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919 : 4,380.53 = 1,187.63 : x
  2. Step 2: Convert to fraction form
    2,919/4,380.53 = 1,187.63/x
  3. Step 3: Cross multiply
    2,919x = 4,380.53 × 1,187.63
  4. Step 4: Simplify right side
    2,919x = 5,202,448.84
  5. Step 5: Solve for x
    x = 5,202,448.84/2,919
  6. Step 6: Final answer
    x = 1,782.27

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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.