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Finding the Fourth Proportional to 2,305.78, 3,457.28 and 919.33

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Solution

The fourth proportional to 2,305.78, 3,457.28 and 919.33 is: 1,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.78 : 3,457.28 = 919.33 : x
  2. Step 2: Convert to fraction form
    2,305.78/3,457.28 = 919.33/x
  3. Step 3: Cross multiply
    2,305.78x = 3,457.28 × 919.33
  4. Step 4: Simplify right side
    2,305.78x = 3,178,374.88
  5. Step 5: Solve for x
    x = 3,178,374.88/2,305.78
  6. Step 6: Final answer
    x = 1,378.44

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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.