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Finding the Fourth Proportional to 3,537.14, 5,305.64 and 940

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Solution

The fourth proportional to 3,537.14, 5,305.64 and 940 is: 1,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.14 : 5,305.64 = 940 : x
  2. Step 2: Convert to fraction form
    3,537.14/5,305.64 = 940/x
  3. Step 3: Cross multiply
    3,537.14x = 5,305.64 × 940
  4. Step 4: Simplify right side
    3,537.14x = 4,987,301.60
  5. Step 5: Solve for x
    x = 4,987,301.60/3,537.14
  6. Step 6: Final answer
    x = 1,409.98

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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.