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Finding the Fourth Proportional to 2,884.45, 4,327.68 and 910.38

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Solution

The fourth proportional to 2,884.45, 4,327.68 and 910.38 is: 1,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.45 : 4,327.68 = 910.38 : x
  2. Step 2: Convert to fraction form
    2,884.45/4,327.68 = 910.38/x
  3. Step 3: Cross multiply
    2,884.45x = 4,327.68 × 910.38
  4. Step 4: Simplify right side
    2,884.45x = 3,939,829.90
  5. Step 5: Solve for x
    x = 3,939,829.90/2,884.45
  6. Step 6: Final answer
    x = 1,365.89

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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.