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Finding the Fourth Proportional to 3,951.78, 5,927.54 and 1,178.48

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Solution

The fourth proportional to 3,951.78, 5,927.54 and 1,178.48 is: 1,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.78 : 5,927.54 = 1,178.48 : x
  2. Step 2: Convert to fraction form
    3,951.78/5,927.54 = 1,178.48/x
  3. Step 3: Cross multiply
    3,951.78x = 5,927.54 × 1,178.48
  4. Step 4: Simplify right side
    3,951.78x = 6,985,460.65
  5. Step 5: Solve for x
    x = 6,985,460.65/3,951.78
  6. Step 6: Final answer
    x = 1,767.67

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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.