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Finding the Fourth Proportional to 3,693.79, 5,540.14 and 1,384.75

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Solution

The fourth proportional to 3,693.79, 5,540.14 and 1,384.75 is: 2,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.79 : 5,540.14 = 1,384.75 : x
  2. Step 2: Convert to fraction form
    3,693.79/5,540.14 = 1,384.75/x
  3. Step 3: Cross multiply
    3,693.79x = 5,540.14 × 1,384.75
  4. Step 4: Simplify right side
    3,693.79x = 7,671,708.87
  5. Step 5: Solve for x
    x = 7,671,708.87/3,693.79
  6. Step 6: Final answer
    x = 2,076.92

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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.