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Finding the Fourth Proportional to 3,959.62, 5,940.20 and 1,186.08

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Solution

The fourth proportional to 3,959.62, 5,940.20 and 1,186.08 is: 1,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.62 : 5,940.20 = 1,186.08 : x
  2. Step 2: Convert to fraction form
    3,959.62/5,940.20 = 1,186.08/x
  3. Step 3: Cross multiply
    3,959.62x = 5,940.20 × 1,186.08
  4. Step 4: Simplify right side
    3,959.62x = 7,045,533.11
  5. Step 5: Solve for x
    x = 7,045,533.11/3,959.62
  6. Step 6: Final answer
    x = 1,779.35

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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.