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Finding the Fourth Proportional to 3,381.86, 5,072.80 and 1,190.08

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Solution

The fourth proportional to 3,381.86, 5,072.80 and 1,190.08 is: 1,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.86 : 5,072.80 = 1,190.08 : x
  2. Step 2: Convert to fraction form
    3,381.86/5,072.80 = 1,190.08/x
  3. Step 3: Cross multiply
    3,381.86x = 5,072.80 × 1,190.08
  4. Step 4: Simplify right side
    3,381.86x = 6,037,037.82
  5. Step 5: Solve for x
    x = 6,037,037.82/3,381.86
  6. Step 6: Final answer
    x = 1,785.12

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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.