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Finding the Fourth Proportional to 3,951.96, 5,929.08 and 1,178.52

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Solution

The fourth proportional to 3,951.96, 5,929.08 and 1,178.52 is: 1,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.96 : 5,929.08 = 1,178.52 : x
  2. Step 2: Convert to fraction form
    3,951.96/5,929.08 = 1,178.52/x
  3. Step 3: Cross multiply
    3,951.96x = 5,929.08 × 1,178.52
  4. Step 4: Simplify right side
    3,951.96x = 6,987,539.36
  5. Step 5: Solve for x
    x = 6,987,539.36/3,951.96
  6. Step 6: Final answer
    x = 1,768.12

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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.