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Finding the Fourth Proportional to 11,980.78, 17,970.30 and 4,082.64

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Solution

The fourth proportional to 11,980.78, 17,970.30 and 4,082.64 is: 6,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.78 : 17,970.30 = 4,082.64 : x
  2. Step 2: Convert to fraction form
    11,980.78/17,970.30 = 4,082.64/x
  3. Step 3: Cross multiply
    11,980.78x = 17,970.30 × 4,082.64
  4. Step 4: Simplify right side
    11,980.78x = 73,366,265.59
  5. Step 5: Solve for x
    x = 73,366,265.59/11,980.78
  6. Step 6: Final answer
    x = 6,123.66

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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.