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Finding the Fourth Proportional to 3,953.86, 5,933.95 and 1,979.41

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Solution

The fourth proportional to 3,953.86, 5,933.95 and 1,979.41 is: 2,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.86 : 5,933.95 = 1,979.41 : x
  2. Step 2: Convert to fraction form
    3,953.86/5,933.95 = 1,979.41/x
  3. Step 3: Cross multiply
    3,953.86x = 5,933.95 × 1,979.41
  4. Step 4: Simplify right side
    3,953.86x = 11,745,700.19
  5. Step 5: Solve for x
    x = 11,745,700.19/3,953.86
  6. Step 6: Final answer
    x = 2,970.69

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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.