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Finding the Fourth Proportional to 51.94, 71.52 and 47.06

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Solution

The fourth proportional to 51.94, 71.52 and 47.06 is: 64.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.94 : 71.52 = 47.06 : x
  2. Step 2: Convert to fraction form
    51.94/71.52 = 47.06/x
  3. Step 3: Cross multiply
    51.94x = 71.52 × 47.06
  4. Step 4: Simplify right side
    51.94x = 3,365.73
  5. Step 5: Solve for x
    x = 3,365.73/51.94
  6. Step 6: Final answer
    x = 64.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.