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Finding the Fourth Proportional to 51.94, 78.08 and 47.67

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Solution

The fourth proportional to 51.94, 78.08 and 47.67 is: 71.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.94 : 78.08 = 47.67 : x
  2. Step 2: Convert to fraction form
    51.94/78.08 = 47.67/x
  3. Step 3: Cross multiply
    51.94x = 78.08 × 47.67
  4. Step 4: Simplify right side
    51.94x = 3,722.14
  5. Step 5: Solve for x
    x = 3,722.14/51.94
  6. Step 6: Final answer
    x = 71.67

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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.