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Finding the Fourth Proportional to 2,244.30, 3,365 and 945.42

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Solution

The fourth proportional to 2,244.30, 3,365 and 945.42 is: 1,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.30 : 3,365 = 945.42 : x
  2. Step 2: Convert to fraction form
    2,244.30/3,365 = 945.42/x
  3. Step 3: Cross multiply
    2,244.30x = 3,365 × 945.42
  4. Step 4: Simplify right side
    2,244.30x = 3,181,338.30
  5. Step 5: Solve for x
    x = 3,181,338.30/2,244.30
  6. Step 6: Final answer
    x = 1,417.52

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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.