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Finding the Fourth Proportional to 3,542.94, 5,314.55 and 945.81

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Solution

The fourth proportional to 3,542.94, 5,314.55 and 945.81 is: 1,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.94 : 5,314.55 = 945.81 : x
  2. Step 2: Convert to fraction form
    3,542.94/5,314.55 = 945.81/x
  3. Step 3: Cross multiply
    3,542.94x = 5,314.55 × 945.81
  4. Step 4: Simplify right side
    3,542.94x = 5,026,549.81
  5. Step 5: Solve for x
    x = 5,026,549.81/3,542.94
  6. Step 6: Final answer
    x = 1,418.75

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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.