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Finding the Fourth Proportional to 3,951.86, 5,927.73 and 1,178.54

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Solution

The fourth proportional to 3,951.86, 5,927.73 and 1,178.54 is: 1,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.86 : 5,927.73 = 1,178.54 : x
  2. Step 2: Convert to fraction form
    3,951.86/5,927.73 = 1,178.54/x
  3. Step 3: Cross multiply
    3,951.86x = 5,927.73 × 1,178.54
  4. Step 4: Simplify right side
    3,951.86x = 6,986,095.06
  5. Step 5: Solve for x
    x = 6,986,095.06/3,951.86
  6. Step 6: Final answer
    x = 1,767.80

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1.5x scale

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.